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Finding the Fourth Proportional to 2,164.66, 2,983.72 and 1,691.72

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Solution

The fourth proportional to 2,164.66, 2,983.72 and 1,691.72 is: 2,331.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.66 : 2,983.72 = 1,691.72 : x
  2. Step 2: Convert to fraction form
    2,164.66/2,983.72 = 1,691.72/x
  3. Step 3: Cross multiply
    2,164.66x = 2,983.72 × 1,691.72
  4. Step 4: Simplify right side
    2,164.66x = 5,047,618.80
  5. Step 5: Solve for x
    x = 5,047,618.80/2,164.66
  6. Step 6: Final answer
    x = 2,331.83

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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.