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Finding the Fourth Proportional to 2,891.34, 3,990.87 and 1,713.24

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Solution

The fourth proportional to 2,891.34, 3,990.87 and 1,713.24 is: 2,364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.34 : 3,990.87 = 1,713.24 : x
  2. Step 2: Convert to fraction form
    2,891.34/3,990.87 = 1,713.24/x
  3. Step 3: Cross multiply
    2,891.34x = 3,990.87 × 1,713.24
  4. Step 4: Simplify right side
    2,891.34x = 6,837,318.12
  5. Step 5: Solve for x
    x = 6,837,318.12/2,891.34
  6. Step 6: Final answer
    x = 2,364.76

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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.