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Finding the Fourth Proportional to 1,760.69, 2,429.78 and 974.75

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Solution

The fourth proportional to 1,760.69, 2,429.78 and 974.75 is: 1,345.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.69 : 2,429.78 = 974.75 : x
  2. Step 2: Convert to fraction form
    1,760.69/2,429.78 = 974.75/x
  3. Step 3: Cross multiply
    1,760.69x = 2,429.78 × 974.75
  4. Step 4: Simplify right side
    1,760.69x = 2,368,411.03
  5. Step 5: Solve for x
    x = 2,368,411.03/1,760.69
  6. Step 6: Final answer
    x = 1,345.16

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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.