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Finding the Fourth Proportional to 1,516.52, 2,274.83 and 592.29

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Solution

The fourth proportional to 1,516.52, 2,274.83 and 592.29 is: 888.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.52 : 2,274.83 = 592.29 : x
  2. Step 2: Convert to fraction form
    1,516.52/2,274.83 = 592.29/x
  3. Step 3: Cross multiply
    1,516.52x = 2,274.83 × 592.29
  4. Step 4: Simplify right side
    1,516.52x = 1,347,359.06
  5. Step 5: Solve for x
    x = 1,347,359.06/1,516.52
  6. Step 6: Final answer
    x = 888.45

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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.