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Finding the Fourth Proportional to 2,617.81, 3,612.49 and 1,438.85

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Solution

The fourth proportional to 2,617.81, 3,612.49 and 1,438.85 is: 1,985.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.81 : 3,612.49 = 1,438.85 : x
  2. Step 2: Convert to fraction form
    2,617.81/3,612.49 = 1,438.85/x
  3. Step 3: Cross multiply
    2,617.81x = 3,612.49 × 1,438.85
  4. Step 4: Simplify right side
    2,617.81x = 5,197,831.24
  5. Step 5: Solve for x
    x = 5,197,831.24/2,617.81
  6. Step 6: Final answer
    x = 1,985.56

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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.