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Finding the Fourth Proportional to 1,708.52, 2,561.29 and 1,418.43

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Solution

The fourth proportional to 1,708.52, 2,561.29 and 1,418.43 is: 2,126.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.52 : 2,561.29 = 1,418.43 : x
  2. Step 2: Convert to fraction form
    1,708.52/2,561.29 = 1,418.43/x
  3. Step 3: Cross multiply
    1,708.52x = 2,561.29 × 1,418.43
  4. Step 4: Simplify right side
    1,708.52x = 3,633,010.57
  5. Step 5: Solve for x
    x = 3,633,010.57/1,708.52
  6. Step 6: Final answer
    x = 2,126.41

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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.