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Finding the Fourth Proportional to 1,760.67, 2,429.76 and 974.73

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Solution

The fourth proportional to 1,760.67, 2,429.76 and 974.73 is: 1,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.67 : 2,429.76 = 974.73 : x
  2. Step 2: Convert to fraction form
    1,760.67/2,429.76 = 974.73/x
  3. Step 3: Cross multiply
    1,760.67x = 2,429.76 × 974.73
  4. Step 4: Simplify right side
    1,760.67x = 2,368,359.96
  5. Step 5: Solve for x
    x = 2,368,359.96/1,760.67
  6. Step 6: Final answer
    x = 1,345.15

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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.