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Finding the Fourth Proportional to 3,377.86, 4,661.46 and 1,885.78

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Solution

The fourth proportional to 3,377.86, 4,661.46 and 1,885.78 is: 2,602.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377.86 : 4,661.46 = 1,885.78 : x
  2. Step 2: Convert to fraction form
    3,377.86/4,661.46 = 1,885.78/x
  3. Step 3: Cross multiply
    3,377.86x = 4,661.46 × 1,885.78
  4. Step 4: Simplify right side
    3,377.86x = 8,790,488.04
  5. Step 5: Solve for x
    x = 8,790,488.04/3,377.86
  6. Step 6: Final answer
    x = 2,602.38

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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.