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Finding the Fourth Proportional to 1,516.15, 2,275.11 and 591.66

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Solution

The fourth proportional to 1,516.15, 2,275.11 and 591.66 is: 887.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.15 : 2,275.11 = 591.66 : x
  2. Step 2: Convert to fraction form
    1,516.15/2,275.11 = 591.66/x
  3. Step 3: Cross multiply
    1,516.15x = 2,275.11 × 591.66
  4. Step 4: Simplify right side
    1,516.15x = 1,346,083.90
  5. Step 5: Solve for x
    x = 1,346,083.90/1,516.15
  6. Step 6: Final answer
    x = 887.83

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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.