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Finding the Fourth Proportional to 1,516.61, 2,273.91 and 592.26

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Solution

The fourth proportional to 1,516.61, 2,273.91 and 592.26 is: 887.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.61 : 2,273.91 = 592.26 : x
  2. Step 2: Convert to fraction form
    1,516.61/2,273.91 = 592.26/x
  3. Step 3: Cross multiply
    1,516.61x = 2,273.91 × 592.26
  4. Step 4: Simplify right side
    1,516.61x = 1,346,734.57
  5. Step 5: Solve for x
    x = 1,346,734.57/1,516.61
  6. Step 6: Final answer
    x = 887.99

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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.