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Finding the Fourth Proportional to 3,097.68, 4,647.72 and 1,866

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Solution

The fourth proportional to 3,097.68, 4,647.72 and 1,866 is: 2,799.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.68 : 4,647.72 = 1,866 : x
  2. Step 2: Convert to fraction form
    3,097.68/4,647.72 = 1,866/x
  3. Step 3: Cross multiply
    3,097.68x = 4,647.72 × 1,866
  4. Step 4: Simplify right side
    3,097.68x = 8,672,645.52
  5. Step 5: Solve for x
    x = 8,672,645.52/3,097.68
  6. Step 6: Final answer
    x = 2,799.72

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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.