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Finding the Fourth Proportional to 2,269.91, 3,378.62 and 2,218.88

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Solution

The fourth proportional to 2,269.91, 3,378.62 and 2,218.88 is: 3,302.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.91 : 3,378.62 = 2,218.88 : x
  2. Step 2: Convert to fraction form
    2,269.91/3,378.62 = 2,218.88/x
  3. Step 3: Cross multiply
    2,269.91x = 3,378.62 × 2,218.88
  4. Step 4: Simplify right side
    2,269.91x = 7,496,752.35
  5. Step 5: Solve for x
    x = 7,496,752.35/2,269.91
  6. Step 6: Final answer
    x = 3,302.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.