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Finding the Fourth Proportional to 2,592.41, 3,577.82 and 1,473.63

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Solution

The fourth proportional to 2,592.41, 3,577.82 and 1,473.63 is: 2,033.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.41 : 3,577.82 = 1,473.63 : x
  2. Step 2: Convert to fraction form
    2,592.41/3,577.82 = 1,473.63/x
  3. Step 3: Cross multiply
    2,592.41x = 3,577.82 × 1,473.63
  4. Step 4: Simplify right side
    2,592.41x = 5,272,375.52
  5. Step 5: Solve for x
    x = 5,272,375.52/2,592.41
  6. Step 6: Final answer
    x = 2,033.78

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