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Finding the Fourth Proportional to 1,237.68, 1,854.42 and 870.78

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Solution

The fourth proportional to 1,237.68, 1,854.42 and 870.78 is: 1,304.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.68 : 1,854.42 = 870.78 : x
  2. Step 2: Convert to fraction form
    1,237.68/1,854.42 = 870.78/x
  3. Step 3: Cross multiply
    1,237.68x = 1,854.42 × 870.78
  4. Step 4: Simplify right side
    1,237.68x = 1,614,791.85
  5. Step 5: Solve for x
    x = 1,614,791.85/1,237.68
  6. Step 6: Final answer
    x = 1,304.69

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