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Finding the Fourth Proportional to 2,129.85, 3,195.18 and 830.61

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Solution

The fourth proportional to 2,129.85, 3,195.18 and 830.61 is: 1,246.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.85 : 3,195.18 = 830.61 : x
  2. Step 2: Convert to fraction form
    2,129.85/3,195.18 = 830.61/x
  3. Step 3: Cross multiply
    2,129.85x = 3,195.18 × 830.61
  4. Step 4: Simplify right side
    2,129.85x = 2,653,948.46
  5. Step 5: Solve for x
    x = 2,653,948.46/2,129.85
  6. Step 6: Final answer
    x = 1,246.07

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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.