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Finding the Fourth Proportional to 2,113.20, 3,169.80 and 958.95

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Solution

The fourth proportional to 2,113.20, 3,169.80 and 958.95 is: 1,438.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.20 : 3,169.80 = 958.95 : x
  2. Step 2: Convert to fraction form
    2,113.20/3,169.80 = 958.95/x
  3. Step 3: Cross multiply
    2,113.20x = 3,169.80 × 958.95
  4. Step 4: Simplify right side
    2,113.20x = 3,039,679.71
  5. Step 5: Solve for x
    x = 3,039,679.71/2,113.20
  6. Step 6: Final answer
    x = 1,438.43

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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.