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Finding the Fourth Proportional to 1,948.69, 2,689.14 and 1,064.49

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Solution

The fourth proportional to 1,948.69, 2,689.14 and 1,064.49 is: 1,468.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.69 : 2,689.14 = 1,064.49 : x
  2. Step 2: Convert to fraction form
    1,948.69/2,689.14 = 1,064.49/x
  3. Step 3: Cross multiply
    1,948.69x = 2,689.14 × 1,064.49
  4. Step 4: Simplify right side
    1,948.69x = 2,862,562.64
  5. Step 5: Solve for x
    x = 2,862,562.64/1,948.69
  6. Step 6: Final answer
    x = 1,468.97

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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.