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Finding the Fourth Proportional to 1,760.38, 2,429.23 and 974.38

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Solution

The fourth proportional to 1,760.38, 2,429.23 and 974.38 is: 1,344.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.38 : 2,429.23 = 974.38 : x
  2. Step 2: Convert to fraction form
    1,760.38/2,429.23 = 974.38/x
  3. Step 3: Cross multiply
    1,760.38x = 2,429.23 × 974.38
  4. Step 4: Simplify right side
    1,760.38x = 2,366,993.13
  5. Step 5: Solve for x
    x = 2,366,993.13/1,760.38
  6. Step 6: Final answer
    x = 1,344.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.