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Finding the Fourth Proportional to 2,572.46, 3,548.41 and 2,241.68

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Solution

The fourth proportional to 2,572.46, 3,548.41 and 2,241.68 is: 3,092.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.46 : 3,548.41 = 2,241.68 : x
  2. Step 2: Convert to fraction form
    2,572.46/3,548.41 = 2,241.68/x
  3. Step 3: Cross multiply
    2,572.46x = 3,548.41 × 2,241.68
  4. Step 4: Simplify right side
    2,572.46x = 7,954,376.38
  5. Step 5: Solve for x
    x = 7,954,376.38/2,572.46
  6. Step 6: Final answer
    x = 3,092.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.