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Finding the Fourth Proportional to 3,398.87, 4,688.70 and 2,266.49

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Solution

The fourth proportional to 3,398.87, 4,688.70 and 2,266.49 is: 3,126.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.87 : 4,688.70 = 2,266.49 : x
  2. Step 2: Convert to fraction form
    3,398.87/4,688.70 = 2,266.49/x
  3. Step 3: Cross multiply
    3,398.87x = 4,688.70 × 2,266.49
  4. Step 4: Simplify right side
    3,398.87x = 10,626,868.22
  5. Step 5: Solve for x
    x = 10,626,868.22/3,398.87
  6. Step 6: Final answer
    x = 3,126.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.