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Finding the Fourth Proportional to 2,617.57, 3,612.27 and 1,438.69

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Solution

The fourth proportional to 2,617.57, 3,612.27 and 1,438.69 is: 1,985.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.57 : 3,612.27 = 1,438.69 : x
  2. Step 2: Convert to fraction form
    2,617.57/3,612.27 = 1,438.69/x
  3. Step 3: Cross multiply
    2,617.57x = 3,612.27 × 1,438.69
  4. Step 4: Simplify right side
    2,617.57x = 5,196,936.73
  5. Step 5: Solve for x
    x = 5,196,936.73/2,617.57
  6. Step 6: Final answer
    x = 1,985.41

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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.