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Finding the Fourth Proportional to 1,948.96, 2,689.49 and 1,064.71

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Solution

The fourth proportional to 1,948.96, 2,689.49 and 1,064.71 is: 1,469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.96 : 2,689.49 = 1,064.71 : x
  2. Step 2: Convert to fraction form
    1,948.96/2,689.49 = 1,064.71/x
  3. Step 3: Cross multiply
    1,948.96x = 2,689.49 × 1,064.71
  4. Step 4: Simplify right side
    1,948.96x = 2,863,508.13
  5. Step 5: Solve for x
    x = 2,863,508.13/1,948.96
  6. Step 6: Final answer
    x = 1,469.25

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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.