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Finding the Fourth Proportional to 2,174.70, 3,266.85 and 2,117.10

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Solution

The fourth proportional to 2,174.70, 3,266.85 and 2,117.10 is: 3,180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.70 : 3,266.85 = 2,117.10 : x
  2. Step 2: Convert to fraction form
    2,174.70/3,266.85 = 2,117.10/x
  3. Step 3: Cross multiply
    2,174.70x = 3,266.85 × 2,117.10
  4. Step 4: Simplify right side
    2,174.70x = 6,916,248.14
  5. Step 5: Solve for x
    x = 6,916,248.14/2,174.70
  6. Step 6: Final answer
    x = 3,180.32

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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.