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Finding the Fourth Proportional to 2,427, 3,349.80 and 1,542.63

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Solution

The fourth proportional to 2,427, 3,349.80 and 1,542.63 is: 2,129.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427 : 3,349.80 = 1,542.63 : x
  2. Step 2: Convert to fraction form
    2,427/3,349.80 = 1,542.63/x
  3. Step 3: Cross multiply
    2,427x = 3,349.80 × 1,542.63
  4. Step 4: Simplify right side
    2,427x = 5,167,501.97
  5. Step 5: Solve for x
    x = 5,167,501.97/2,427
  6. Step 6: Final answer
    x = 2,129.17

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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.