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Finding the Fourth Proportional to 3,158.80, 4,357.68 and 1,882.12

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Solution

The fourth proportional to 3,158.80, 4,357.68 and 1,882.12 is: 2,596.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.80 : 4,357.68 = 1,882.12 : x
  2. Step 2: Convert to fraction form
    3,158.80/4,357.68 = 1,882.12/x
  3. Step 3: Cross multiply
    3,158.80x = 4,357.68 × 1,882.12
  4. Step 4: Simplify right side
    3,158.80x = 8,201,676.68
  5. Step 5: Solve for x
    x = 8,201,676.68/3,158.80
  6. Step 6: Final answer
    x = 2,596.45

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