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Finding the Fourth Proportional to 1,515.96, 2,272.59 and 592.16

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Solution

The fourth proportional to 1,515.96, 2,272.59 and 592.16 is: 887.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.96 : 2,272.59 = 592.16 : x
  2. Step 2: Convert to fraction form
    1,515.96/2,272.59 = 592.16/x
  3. Step 3: Cross multiply
    1,515.96x = 2,272.59 × 592.16
  4. Step 4: Simplify right side
    1,515.96x = 1,345,725.53
  5. Step 5: Solve for x
    x = 1,345,725.53/1,515.96
  6. Step 6: Final answer
    x = 887.71

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