Home / 4,217.76-6,324-1,617.60

Finding the Fourth Proportional to 4,217.76, 6,324 and 1,617.60

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Solution

The fourth proportional to 4,217.76, 6,324 and 1,617.60 is: 2,425.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,217.76 : 6,324 = 1,617.60 : x
  2. Step 2: Convert to fraction form
    4,217.76/6,324 = 1,617.60/x
  3. Step 3: Cross multiply
    4,217.76x = 6,324 × 1,617.60
  4. Step 4: Simplify right side
    4,217.76x = 10,229,702.40
  5. Step 5: Solve for x
    x = 10,229,702.40/4,217.76
  6. Step 6: Final answer
    x = 2,425.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.