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Finding the Fourth Proportional to 2,943.47, 4,058.02 and 2,522

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Solution

The fourth proportional to 2,943.47, 4,058.02 and 2,522 is: 3,476.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.47 : 4,058.02 = 2,522 : x
  2. Step 2: Convert to fraction form
    2,943.47/4,058.02 = 2,522/x
  3. Step 3: Cross multiply
    2,943.47x = 4,058.02 × 2,522
  4. Step 4: Simplify right side
    2,943.47x = 10,234,326.44
  5. Step 5: Solve for x
    x = 10,234,326.44/2,943.47
  6. Step 6: Final answer
    x = 3,476.96

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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.