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Finding the Fourth Proportional to 3,377.58, 4,663.20 and 2,202

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Solution

The fourth proportional to 3,377.58, 4,663.20 and 2,202 is: 3,040.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377.58 : 4,663.20 = 2,202 : x
  2. Step 2: Convert to fraction form
    3,377.58/4,663.20 = 2,202/x
  3. Step 3: Cross multiply
    3,377.58x = 4,663.20 × 2,202
  4. Step 4: Simplify right side
    3,377.58x = 10,268,366.40
  5. Step 5: Solve for x
    x = 10,268,366.40/3,377.58
  6. Step 6: Final answer
    x = 3,040.15

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Why These Related Problems?

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