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Finding the Fourth Proportional to 1,965.52, 2,948.38 and 869.90

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Solution

The fourth proportional to 1,965.52, 2,948.38 and 869.90 is: 1,304.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.52 : 2,948.38 = 869.90 : x
  2. Step 2: Convert to fraction form
    1,965.52/2,948.38 = 869.90/x
  3. Step 3: Cross multiply
    1,965.52x = 2,948.38 × 869.90
  4. Step 4: Simplify right side
    1,965.52x = 2,564,795.76
  5. Step 5: Solve for x
    x = 2,564,795.76/1,965.52
  6. Step 6: Final answer
    x = 1,304.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.