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Finding the Fourth Proportional to 1,516.74, 2,276.14 and 592.29

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Solution

The fourth proportional to 1,516.74, 2,276.14 and 592.29 is: 888.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.74 : 2,276.14 = 592.29 : x
  2. Step 2: Convert to fraction form
    1,516.74/2,276.14 = 592.29/x
  3. Step 3: Cross multiply
    1,516.74x = 2,276.14 × 592.29
  4. Step 4: Simplify right side
    1,516.74x = 1,348,139.17
  5. Step 5: Solve for x
    x = 1,348,139.17/1,516.74
  6. Step 6: Final answer
    x = 888.84

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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.