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Finding the Fourth Proportional to 1,760.53, 2,429.49 and 974.58

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Solution

The fourth proportional to 1,760.53, 2,429.49 and 974.58 is: 1,344.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.53 : 2,429.49 = 974.58 : x
  2. Step 2: Convert to fraction form
    1,760.53/2,429.49 = 974.58/x
  3. Step 3: Cross multiply
    1,760.53x = 2,429.49 × 974.58
  4. Step 4: Simplify right side
    1,760.53x = 2,367,736.02
  5. Step 5: Solve for x
    x = 2,367,736.02/1,760.53
  6. Step 6: Final answer
    x = 1,344.90

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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.