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Finding the Fourth Proportional to 3,234.60, 4,851.90 and 2,505.60

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Solution

The fourth proportional to 3,234.60, 4,851.90 and 2,505.60 is: 3,758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.60 : 4,851.90 = 2,505.60 : x
  2. Step 2: Convert to fraction form
    3,234.60/4,851.90 = 2,505.60/x
  3. Step 3: Cross multiply
    3,234.60x = 4,851.90 × 2,505.60
  4. Step 4: Simplify right side
    3,234.60x = 12,156,920.64
  5. Step 5: Solve for x
    x = 12,156,920.64/3,234.60
  6. Step 6: Final answer
    x = 3,758.40

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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.