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Finding the Fourth Proportional to 2,211.80, 3,318.10 and 913.40

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Solution

The fourth proportional to 2,211.80, 3,318.10 and 913.40 is: 1,370.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.80 : 3,318.10 = 913.40 : x
  2. Step 2: Convert to fraction form
    2,211.80/3,318.10 = 913.40/x
  3. Step 3: Cross multiply
    2,211.80x = 3,318.10 × 913.40
  4. Step 4: Simplify right side
    2,211.80x = 3,030,752.54
  5. Step 5: Solve for x
    x = 3,030,752.54/2,211.80
  6. Step 6: Final answer
    x = 1,370.27

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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.