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Finding the Fourth Proportional to 2,497.75, 3,727.63 and 2,220.97

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Solution

The fourth proportional to 2,497.75, 3,727.63 and 2,220.97 is: 3,314.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.75 : 3,727.63 = 2,220.97 : x
  2. Step 2: Convert to fraction form
    2,497.75/3,727.63 = 2,220.97/x
  3. Step 3: Cross multiply
    2,497.75x = 3,727.63 × 2,220.97
  4. Step 4: Simplify right side
    2,497.75x = 8,278,954.40
  5. Step 5: Solve for x
    x = 8,278,954.40/2,497.75
  6. Step 6: Final answer
    x = 3,314.56

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.