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Finding the Fourth Proportional to 3,103.70, 4,283.71 and 1,778.29

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Solution

The fourth proportional to 3,103.70, 4,283.71 and 1,778.29 is: 2,454.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.70 : 4,283.71 = 1,778.29 : x
  2. Step 2: Convert to fraction form
    3,103.70/4,283.71 = 1,778.29/x
  3. Step 3: Cross multiply
    3,103.70x = 4,283.71 × 1,778.29
  4. Step 4: Simplify right side
    3,103.70x = 7,617,663.50
  5. Step 5: Solve for x
    x = 7,617,663.50/3,103.70
  6. Step 6: Final answer
    x = 2,454.39

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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.