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Finding the Fourth Proportional to 2,280.56, 3,402.93 and 2,141.24

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Solution

The fourth proportional to 2,280.56, 3,402.93 and 2,141.24 is: 3,195.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.56 : 3,402.93 = 2,141.24 : x
  2. Step 2: Convert to fraction form
    2,280.56/3,402.93 = 2,141.24/x
  3. Step 3: Cross multiply
    2,280.56x = 3,402.93 × 2,141.24
  4. Step 4: Simplify right side
    2,280.56x = 7,286,472.82
  5. Step 5: Solve for x
    x = 7,286,472.82/2,280.56
  6. Step 6: Final answer
    x = 3,195.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.