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Finding the Fourth Proportional to 1,433.68, 1,979.34 and 937.15

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Solution

The fourth proportional to 1,433.68, 1,979.34 and 937.15 is: 1,293.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.68 : 1,979.34 = 937.15 : x
  2. Step 2: Convert to fraction form
    1,433.68/1,979.34 = 937.15/x
  3. Step 3: Cross multiply
    1,433.68x = 1,979.34 × 937.15
  4. Step 4: Simplify right side
    1,433.68x = 1,854,923.90
  5. Step 5: Solve for x
    x = 1,854,923.90/1,433.68
  6. Step 6: Final answer
    x = 1,293.82

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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.