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Finding the Fourth Proportional to 2,520.39, 3,780.59 and 671.41

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Solution

The fourth proportional to 2,520.39, 3,780.59 and 671.41 is: 1,007.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.39 : 3,780.59 = 671.41 : x
  2. Step 2: Convert to fraction form
    2,520.39/3,780.59 = 671.41/x
  3. Step 3: Cross multiply
    2,520.39x = 3,780.59 × 671.41
  4. Step 4: Simplify right side
    2,520.39x = 2,538,325.93
  5. Step 5: Solve for x
    x = 2,538,325.93/2,520.39
  6. Step 6: Final answer
    x = 1,007.12

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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.