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Finding the Fourth Proportional to 2,293.62, 3,411 and 2,220.72

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Solution

The fourth proportional to 2,293.62, 3,411 and 2,220.72 is: 3,302.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.62 : 3,411 = 2,220.72 : x
  2. Step 2: Convert to fraction form
    2,293.62/3,411 = 2,220.72/x
  3. Step 3: Cross multiply
    2,293.62x = 3,411 × 2,220.72
  4. Step 4: Simplify right side
    2,293.62x = 7,574,875.92
  5. Step 5: Solve for x
    x = 7,574,875.92/2,293.62
  6. Step 6: Final answer
    x = 3,302.59

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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.