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Finding the Fourth Proportional to 2,530.22, 3,493.17 and 1,680.17

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Solution

The fourth proportional to 2,530.22, 3,493.17 and 1,680.17 is: 2,319.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.22 : 3,493.17 = 1,680.17 : x
  2. Step 2: Convert to fraction form
    2,530.22/3,493.17 = 1,680.17/x
  3. Step 3: Cross multiply
    2,530.22x = 3,493.17 × 1,680.17
  4. Step 4: Simplify right side
    2,530.22x = 5,869,101.97
  5. Step 5: Solve for x
    x = 5,869,101.97/2,530.22
  6. Step 6: Final answer
    x = 2,319.61

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