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Finding the Fourth Proportional to 2,218.69, 3,328.71 and 1,049.59

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Solution

The fourth proportional to 2,218.69, 3,328.71 and 1,049.59 is: 1,574.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.69 : 3,328.71 = 1,049.59 : x
  2. Step 2: Convert to fraction form
    2,218.69/3,328.71 = 1,049.59/x
  3. Step 3: Cross multiply
    2,218.69x = 3,328.71 × 1,049.59
  4. Step 4: Simplify right side
    2,218.69x = 3,493,780.73
  5. Step 5: Solve for x
    x = 3,493,780.73/2,218.69
  6. Step 6: Final answer
    x = 1,574.70

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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.