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Finding the Fourth Proportional to 1,487.64, 2,248.32 and 1,462.08

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Solution

The fourth proportional to 1,487.64, 2,248.32 and 1,462.08 is: 2,209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.64 : 2,248.32 = 1,462.08 : x
  2. Step 2: Convert to fraction form
    1,487.64/2,248.32 = 1,462.08/x
  3. Step 3: Cross multiply
    1,487.64x = 2,248.32 × 1,462.08
  4. Step 4: Simplify right side
    1,487.64x = 3,287,223.71
  5. Step 5: Solve for x
    x = 3,287,223.71/1,487.64
  6. Step 6: Final answer
    x = 2,209.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.