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Finding the Fourth Proportional to 2,139.47, 2,951.46 and 1,393.16

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Solution

The fourth proportional to 2,139.47, 2,951.46 and 1,393.16 is: 1,921.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.47 : 2,951.46 = 1,393.16 : x
  2. Step 2: Convert to fraction form
    2,139.47/2,951.46 = 1,393.16/x
  3. Step 3: Cross multiply
    2,139.47x = 2,951.46 × 1,393.16
  4. Step 4: Simplify right side
    2,139.47x = 4,111,841.26
  5. Step 5: Solve for x
    x = 4,111,841.26/2,139.47
  6. Step 6: Final answer
    x = 1,921.90

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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.