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Finding the Fourth Proportional to 2,288.70, 3,158.31 and 1,293.90

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Solution

The fourth proportional to 2,288.70, 3,158.31 and 1,293.90 is: 1,785.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.70 : 3,158.31 = 1,293.90 : x
  2. Step 2: Convert to fraction form
    2,288.70/3,158.31 = 1,293.90/x
  3. Step 3: Cross multiply
    2,288.70x = 3,158.31 × 1,293.90
  4. Step 4: Simplify right side
    2,288.70x = 4,086,537.31
  5. Step 5: Solve for x
    x = 4,086,537.31/2,288.70
  6. Step 6: Final answer
    x = 1,785.53

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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.