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Finding the Fourth Proportional to 3,304, 4,561.95 and 2,254.24

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Solution

The fourth proportional to 3,304, 4,561.95 and 2,254.24 is: 3,112.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304 : 4,561.95 = 2,254.24 : x
  2. Step 2: Convert to fraction form
    3,304/4,561.95 = 2,254.24/x
  3. Step 3: Cross multiply
    3,304x = 4,561.95 × 2,254.24
  4. Step 4: Simplify right side
    3,304x = 10,283,730.17
  5. Step 5: Solve for x
    x = 10,283,730.17/3,304
  6. Step 6: Final answer
    x = 3,112.51

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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.