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Finding the Fourth Proportional to 2,281.86, 3,423.36 and 1,241.58

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Solution

The fourth proportional to 2,281.86, 3,423.36 and 1,241.58 is: 1,862.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.86 : 3,423.36 = 1,241.58 : x
  2. Step 2: Convert to fraction form
    2,281.86/3,423.36 = 1,241.58/x
  3. Step 3: Cross multiply
    2,281.86x = 3,423.36 × 1,241.58
  4. Step 4: Simplify right side
    2,281.86x = 4,250,375.31
  5. Step 5: Solve for x
    x = 4,250,375.31/2,281.86
  6. Step 6: Final answer
    x = 1,862.68

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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.