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Finding the Fourth Proportional to 1,680.96, 2,320.23 and 1,091.58

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Solution

The fourth proportional to 1,680.96, 2,320.23 and 1,091.58 is: 1,506.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.96 : 2,320.23 = 1,091.58 : x
  2. Step 2: Convert to fraction form
    1,680.96/2,320.23 = 1,091.58/x
  3. Step 3: Cross multiply
    1,680.96x = 2,320.23 × 1,091.58
  4. Step 4: Simplify right side
    1,680.96x = 2,532,716.66
  5. Step 5: Solve for x
    x = 2,532,716.66/1,680.96
  6. Step 6: Final answer
    x = 1,506.71

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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.