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Finding the Fourth Proportional to 2,135.67, 2,947.16 and 1,251.46

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Solution

The fourth proportional to 2,135.67, 2,947.16 and 1,251.46 is: 1,726.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.67 : 2,947.16 = 1,251.46 : x
  2. Step 2: Convert to fraction form
    2,135.67/2,947.16 = 1,251.46/x
  3. Step 3: Cross multiply
    2,135.67x = 2,947.16 × 1,251.46
  4. Step 4: Simplify right side
    2,135.67x = 3,688,247.86
  5. Step 5: Solve for x
    x = 3,688,247.86/2,135.67
  6. Step 6: Final answer
    x = 1,726.97

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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.