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Finding the Fourth Proportional to 2,641.30, 3,962.64 and 997.87

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Solution

The fourth proportional to 2,641.30, 3,962.64 and 997.87 is: 1,497.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.30 : 3,962.64 = 997.87 : x
  2. Step 2: Convert to fraction form
    2,641.30/3,962.64 = 997.87/x
  3. Step 3: Cross multiply
    2,641.30x = 3,962.64 × 997.87
  4. Step 4: Simplify right side
    2,641.30x = 3,954,199.58
  5. Step 5: Solve for x
    x = 3,954,199.58/2,641.30
  6. Step 6: Final answer
    x = 1,497.07

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.