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Finding the Fourth Proportional to 2,395.51, 3,591.84 and 932.95

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Solution

The fourth proportional to 2,395.51, 3,591.84 and 932.95 is: 1,398.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395.51 : 3,591.84 = 932.95 : x
  2. Step 2: Convert to fraction form
    2,395.51/3,591.84 = 932.95/x
  3. Step 3: Cross multiply
    2,395.51x = 3,591.84 × 932.95
  4. Step 4: Simplify right side
    2,395.51x = 3,351,015.12
  5. Step 5: Solve for x
    x = 3,351,015.12/2,395.51
  6. Step 6: Final answer
    x = 1,398.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.