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Finding the Fourth Proportional to 2,269.70, 3,386.09 and 2,057.49

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Solution

The fourth proportional to 2,269.70, 3,386.09 and 2,057.49 is: 3,069.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.70 : 3,386.09 = 2,057.49 : x
  2. Step 2: Convert to fraction form
    2,269.70/3,386.09 = 2,057.49/x
  3. Step 3: Cross multiply
    2,269.70x = 3,386.09 × 2,057.49
  4. Step 4: Simplify right side
    2,269.70x = 6,966,843.80
  5. Step 5: Solve for x
    x = 6,966,843.80/2,269.70
  6. Step 6: Final answer
    x = 3,069.51

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Why These Related Problems?

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