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Finding the Fourth Proportional to 2,257.17, 3,385.68 and 613.66

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Solution

The fourth proportional to 2,257.17, 3,385.68 and 613.66 is: 920.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.17 : 3,385.68 = 613.66 : x
  2. Step 2: Convert to fraction form
    2,257.17/3,385.68 = 613.66/x
  3. Step 3: Cross multiply
    2,257.17x = 3,385.68 × 613.66
  4. Step 4: Simplify right side
    2,257.17x = 2,077,656.39
  5. Step 5: Solve for x
    x = 2,077,656.39/2,257.17
  6. Step 6: Final answer
    x = 920.47

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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.