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Finding the Fourth Proportional to 2,617.85, 3,612.60 and 1,438.89

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Solution

The fourth proportional to 2,617.85, 3,612.60 and 1,438.89 is: 1,985.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.85 : 3,612.60 = 1,438.89 : x
  2. Step 2: Convert to fraction form
    2,617.85/3,612.60 = 1,438.89/x
  3. Step 3: Cross multiply
    2,617.85x = 3,612.60 × 1,438.89
  4. Step 4: Simplify right side
    2,617.85x = 5,198,134.01
  5. Step 5: Solve for x
    x = 5,198,134.01/2,617.85
  6. Step 6: Final answer
    x = 1,985.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.