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Finding the Fourth Proportional to 1,965.88, 2,948.70 and 869.92

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Solution

The fourth proportional to 1,965.88, 2,948.70 and 869.92 is: 1,304.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.88 : 2,948.70 = 869.92 : x
  2. Step 2: Convert to fraction form
    1,965.88/2,948.70 = 869.92/x
  3. Step 3: Cross multiply
    1,965.88x = 2,948.70 × 869.92
  4. Step 4: Simplify right side
    1,965.88x = 2,565,133.10
  5. Step 5: Solve for x
    x = 2,565,133.10/1,965.88
  6. Step 6: Final answer
    x = 1,304.83

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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.