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Finding the Fourth Proportional to 2,523.66, 3,780.18 and 2,352.78

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Solution

The fourth proportional to 2,523.66, 3,780.18 and 2,352.78 is: 3,524.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.66 : 3,780.18 = 2,352.78 : x
  2. Step 2: Convert to fraction form
    2,523.66/3,780.18 = 2,352.78/x
  3. Step 3: Cross multiply
    2,523.66x = 3,780.18 × 2,352.78
  4. Step 4: Simplify right side
    2,523.66x = 8,893,931.90
  5. Step 5: Solve for x
    x = 8,893,931.90/2,523.66
  6. Step 6: Final answer
    x = 3,524.22

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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.