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Finding the Fourth Proportional to 1,241.23, 1,862.14 and 876.73

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Solution

The fourth proportional to 1,241.23, 1,862.14 and 876.73 is: 1,315.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.23 : 1,862.14 = 876.73 : x
  2. Step 2: Convert to fraction form
    1,241.23/1,862.14 = 876.73/x
  3. Step 3: Cross multiply
    1,241.23x = 1,862.14 × 876.73
  4. Step 4: Simplify right side
    1,241.23x = 1,632,594.00
  5. Step 5: Solve for x
    x = 1,632,594.00/1,241.23
  6. Step 6: Final answer
    x = 1,315.30

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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.