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Finding the Fourth Proportional to 2,281.01, 3,420.29 and 1,540.58

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Solution

The fourth proportional to 2,281.01, 3,420.29 and 1,540.58 is: 2,310.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.01 : 3,420.29 = 1,540.58 : x
  2. Step 2: Convert to fraction form
    2,281.01/3,420.29 = 1,540.58/x
  3. Step 3: Cross multiply
    2,281.01x = 3,420.29 × 1,540.58
  4. Step 4: Simplify right side
    2,281.01x = 5,269,217.12
  5. Step 5: Solve for x
    x = 5,269,217.12/2,281.01
  6. Step 6: Final answer
    x = 2,310.04

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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.