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Finding the Fourth Proportional to 1,517.25, 2,274.53 and 592.16

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Solution

The fourth proportional to 1,517.25, 2,274.53 and 592.16 is: 887.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.25 : 2,274.53 = 592.16 : x
  2. Step 2: Convert to fraction form
    1,517.25/2,274.53 = 592.16/x
  3. Step 3: Cross multiply
    1,517.25x = 2,274.53 × 592.16
  4. Step 4: Simplify right side
    1,517.25x = 1,346,887.48
  5. Step 5: Solve for x
    x = 1,346,887.48/1,517.25
  6. Step 6: Final answer
    x = 887.72

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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.