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Finding the Fourth Proportional to 4,597.18, 6,891.66 and 1,822

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Solution

The fourth proportional to 4,597.18, 6,891.66 and 1,822 is: 2,731.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.18 : 6,891.66 = 1,822 : x
  2. Step 2: Convert to fraction form
    4,597.18/6,891.66 = 1,822/x
  3. Step 3: Cross multiply
    4,597.18x = 6,891.66 × 1,822
  4. Step 4: Simplify right side
    4,597.18x = 12,556,604.52
  5. Step 5: Solve for x
    x = 12,556,604.52/4,597.18
  6. Step 6: Final answer
    x = 2,731.37

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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.