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Finding the Fourth Proportional to 1,680.66, 2,317.19 and 1,255.41

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Solution

The fourth proportional to 1,680.66, 2,317.19 and 1,255.41 is: 1,730.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.66 : 2,317.19 = 1,255.41 : x
  2. Step 2: Convert to fraction form
    1,680.66/2,317.19 = 1,255.41/x
  3. Step 3: Cross multiply
    1,680.66x = 2,317.19 × 1,255.41
  4. Step 4: Simplify right side
    1,680.66x = 2,909,017.22
  5. Step 5: Solve for x
    x = 2,909,017.22/1,680.66
  6. Step 6: Final answer
    x = 1,730.88

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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.