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Finding the Fourth Proportional to 1,516.18, 2,273.84 and 542.16

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Solution

The fourth proportional to 1,516.18, 2,273.84 and 542.16 is: 813.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.18 : 2,273.84 = 542.16 : x
  2. Step 2: Convert to fraction form
    1,516.18/2,273.84 = 542.16/x
  3. Step 3: Cross multiply
    1,516.18x = 2,273.84 × 542.16
  4. Step 4: Simplify right side
    1,516.18x = 1,232,785.09
  5. Step 5: Solve for x
    x = 1,232,785.09/1,516.18
  6. Step 6: Final answer
    x = 813.09

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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.