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Finding the Fourth Proportional to 2,506.75, 3,766.10 and 2,374.11

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Solution

The fourth proportional to 2,506.75, 3,766.10 and 2,374.11 is: 3,566.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.75 : 3,766.10 = 2,374.11 : x
  2. Step 2: Convert to fraction form
    2,506.75/3,766.10 = 2,374.11/x
  3. Step 3: Cross multiply
    2,506.75x = 3,766.10 × 2,374.11
  4. Step 4: Simplify right side
    2,506.75x = 8,941,123.80
  5. Step 5: Solve for x
    x = 8,941,123.80/2,506.75
  6. Step 6: Final answer
    x = 3,566.82

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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.