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Finding the Fourth Proportional to 2,139.70, 2,945.91 and 1,863.58

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Solution

The fourth proportional to 2,139.70, 2,945.91 and 1,863.58 is: 2,565.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.70 : 2,945.91 = 1,863.58 : x
  2. Step 2: Convert to fraction form
    2,139.70/2,945.91 = 1,863.58/x
  3. Step 3: Cross multiply
    2,139.70x = 2,945.91 × 1,863.58
  4. Step 4: Simplify right side
    2,139.70x = 5,489,938.96
  5. Step 5: Solve for x
    x = 5,489,938.96/2,139.70
  6. Step 6: Final answer
    x = 2,565.75

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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.