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Finding the Fourth Proportional to 2,117.16, 3,171.42 and 1,089

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Solution

The fourth proportional to 2,117.16, 3,171.42 and 1,089 is: 1,631.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.16 : 3,171.42 = 1,089 : x
  2. Step 2: Convert to fraction form
    2,117.16/3,171.42 = 1,089/x
  3. Step 3: Cross multiply
    2,117.16x = 3,171.42 × 1,089
  4. Step 4: Simplify right side
    2,117.16x = 3,453,676.38
  5. Step 5: Solve for x
    x = 3,453,676.38/2,117.16
  6. Step 6: Final answer
    x = 1,631.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.