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Finding the Fourth Proportional to 2,766.21, 4,149.18 and 2,460.84

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Solution

The fourth proportional to 2,766.21, 4,149.18 and 2,460.84 is: 3,691.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.21 : 4,149.18 = 2,460.84 : x
  2. Step 2: Convert to fraction form
    2,766.21/4,149.18 = 2,460.84/x
  3. Step 3: Cross multiply
    2,766.21x = 4,149.18 × 2,460.84
  4. Step 4: Simplify right side
    2,766.21x = 10,210,468.11
  5. Step 5: Solve for x
    x = 10,210,468.11/2,766.21
  6. Step 6: Final answer
    x = 3,691.14

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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.