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Finding the Fourth Proportional to 2,139.80, 2,948.31 and 1,549.31

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Solution

The fourth proportional to 2,139.80, 2,948.31 and 1,549.31 is: 2,134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.80 : 2,948.31 = 1,549.31 : x
  2. Step 2: Convert to fraction form
    2,139.80/2,948.31 = 1,549.31/x
  3. Step 3: Cross multiply
    2,139.80x = 2,948.31 × 1,549.31
  4. Step 4: Simplify right side
    2,139.80x = 4,567,831.42
  5. Step 5: Solve for x
    x = 4,567,831.42/2,139.80
  6. Step 6: Final answer
    x = 2,134.71

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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.