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Finding the Fourth Proportional to 2,234.80, 3,352.08 and 1,139.12

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Solution

The fourth proportional to 2,234.80, 3,352.08 and 1,139.12 is: 1,708.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.80 : 3,352.08 = 1,139.12 : x
  2. Step 2: Convert to fraction form
    2,234.80/3,352.08 = 1,139.12/x
  3. Step 3: Cross multiply
    2,234.80x = 3,352.08 × 1,139.12
  4. Step 4: Simplify right side
    2,234.80x = 3,818,421.37
  5. Step 5: Solve for x
    x = 3,818,421.37/2,234.80
  6. Step 6: Final answer
    x = 1,708.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.