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Finding the Fourth Proportional to 1,760.62, 2,429.67 and 974.66

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Solution

The fourth proportional to 1,760.62, 2,429.67 and 974.66 is: 1,345.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.62 : 2,429.67 = 974.66 : x
  2. Step 2: Convert to fraction form
    1,760.62/2,429.67 = 974.66/x
  3. Step 3: Cross multiply
    1,760.62x = 2,429.67 × 974.66
  4. Step 4: Simplify right side
    1,760.62x = 2,368,102.16
  5. Step 5: Solve for x
    x = 2,368,102.16/1,760.62
  6. Step 6: Final answer
    x = 1,345.04

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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.