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Finding the Fourth Proportional to 1,760.50, 2,429.49 and 974.53

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Solution

The fourth proportional to 1,760.50, 2,429.49 and 974.53 is: 1,344.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.50 : 2,429.49 = 974.53 : x
  2. Step 2: Convert to fraction form
    1,760.50/2,429.49 = 974.53/x
  3. Step 3: Cross multiply
    1,760.50x = 2,429.49 × 974.53
  4. Step 4: Simplify right side
    1,760.50x = 2,367,617.58
  5. Step 5: Solve for x
    x = 2,367,617.58/1,760.50
  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.