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Finding the Fourth Proportional to 1,909.80, 2,862.27 and 869.49

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Solution

The fourth proportional to 1,909.80, 2,862.27 and 869.49 is: 1,303.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.80 : 2,862.27 = 869.49 : x
  2. Step 2: Convert to fraction form
    1,909.80/2,862.27 = 869.49/x
  3. Step 3: Cross multiply
    1,909.80x = 2,862.27 × 869.49
  4. Step 4: Simplify right side
    1,909.80x = 2,488,715.14
  5. Step 5: Solve for x
    x = 2,488,715.14/1,909.80
  6. Step 6: Final answer
    x = 1,303.13

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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.