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Finding the Fourth Proportional to 2,283.47, 3,149.31 and 1,398.64

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Solution

The fourth proportional to 2,283.47, 3,149.31 and 1,398.64 is: 1,928.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.47 : 3,149.31 = 1,398.64 : x
  2. Step 2: Convert to fraction form
    2,283.47/3,149.31 = 1,398.64/x
  3. Step 3: Cross multiply
    2,283.47x = 3,149.31 × 1,398.64
  4. Step 4: Simplify right side
    2,283.47x = 4,404,750.94
  5. Step 5: Solve for x
    x = 4,404,750.94/2,283.47
  6. Step 6: Final answer
    x = 1,928.97

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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.