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Finding the Fourth Proportional to 1,516.89, 2,275.32 and 694.93

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Solution

The fourth proportional to 1,516.89, 2,275.32 and 694.93 is: 1,042.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.89 : 2,275.32 = 694.93 : x
  2. Step 2: Convert to fraction form
    1,516.89/2,275.32 = 694.93/x
  3. Step 3: Cross multiply
    1,516.89x = 2,275.32 × 694.93
  4. Step 4: Simplify right side
    1,516.89x = 1,581,188.13
  5. Step 5: Solve for x
    x = 1,581,188.13/1,516.89
  6. Step 6: Final answer
    x = 1,042.39

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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.