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Finding the Fourth Proportional to 2,369.28, 3,549.20 and 1,842.56

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Solution

The fourth proportional to 2,369.28, 3,549.20 and 1,842.56 is: 2,760.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.28 : 3,549.20 = 1,842.56 : x
  2. Step 2: Convert to fraction form
    2,369.28/3,549.20 = 1,842.56/x
  3. Step 3: Cross multiply
    2,369.28x = 3,549.20 × 1,842.56
  4. Step 4: Simplify right side
    2,369.28x = 6,539,613.95
  5. Step 5: Solve for x
    x = 6,539,613.95/2,369.28
  6. Step 6: Final answer
    x = 2,760.17

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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.