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Finding the Fourth Proportional to 1,760.74, 2,429.67 and 974.59

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Solution

The fourth proportional to 1,760.74, 2,429.67 and 974.59 is: 1,344.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.74 : 2,429.67 = 974.59 : x
  2. Step 2: Convert to fraction form
    1,760.74/2,429.67 = 974.59/x
  3. Step 3: Cross multiply
    1,760.74x = 2,429.67 × 974.59
  4. Step 4: Simplify right side
    1,760.74x = 2,367,932.09
  5. Step 5: Solve for x
    x = 2,367,932.09/1,760.74
  6. Step 6: Final answer
    x = 1,344.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.