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Finding the Fourth Proportional to 1,715.91, 2,561.43 and 1,508.31

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Solution

The fourth proportional to 1,715.91, 2,561.43 and 1,508.31 is: 2,251.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.91 : 2,561.43 = 1,508.31 : x
  2. Step 2: Convert to fraction form
    1,715.91/2,561.43 = 1,508.31/x
  3. Step 3: Cross multiply
    1,715.91x = 2,561.43 × 1,508.31
  4. Step 4: Simplify right side
    1,715.91x = 3,863,430.48
  5. Step 5: Solve for x
    x = 3,863,430.48/1,715.91
  6. Step 6: Final answer
    x = 2,251.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.