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Finding the Fourth Proportional to 2,500.66, 3,742.84 and 1,842.27

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Solution

The fourth proportional to 2,500.66, 3,742.84 and 1,842.27 is: 2,757.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.66 : 3,742.84 = 1,842.27 : x
  2. Step 2: Convert to fraction form
    2,500.66/3,742.84 = 1,842.27/x
  3. Step 3: Cross multiply
    2,500.66x = 3,742.84 × 1,842.27
  4. Step 4: Simplify right side
    2,500.66x = 6,895,312.64
  5. Step 5: Solve for x
    x = 6,895,312.64/2,500.66
  6. Step 6: Final answer
    x = 2,757.40

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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.