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Finding the Fourth Proportional to 2,387.12, 3,295.35 and 1,591.76

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Solution

The fourth proportional to 2,387.12, 3,295.35 and 1,591.76 is: 2,197.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.12 : 3,295.35 = 1,591.76 : x
  2. Step 2: Convert to fraction form
    2,387.12/3,295.35 = 1,591.76/x
  3. Step 3: Cross multiply
    2,387.12x = 3,295.35 × 1,591.76
  4. Step 4: Simplify right side
    2,387.12x = 5,245,406.32
  5. Step 5: Solve for x
    x = 5,245,406.32/2,387.12
  6. Step 6: Final answer
    x = 2,197.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.