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Finding the Fourth Proportional to 3,242.39, 4,863.60 and 1,780.75

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Solution

The fourth proportional to 3,242.39, 4,863.60 and 1,780.75 is: 2,671.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.39 : 4,863.60 = 1,780.75 : x
  2. Step 2: Convert to fraction form
    3,242.39/4,863.60 = 1,780.75/x
  3. Step 3: Cross multiply
    3,242.39x = 4,863.60 × 1,780.75
  4. Step 4: Simplify right side
    3,242.39x = 8,660,831.38
  5. Step 5: Solve for x
    x = 8,660,831.38/3,242.39
  6. Step 6: Final answer
    x = 2,671.13

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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.