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Finding the Fourth Proportional to 2,174.53, 3,261.93 and 614.65

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Solution

The fourth proportional to 2,174.53, 3,261.93 and 614.65 is: 922.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.53 : 3,261.93 = 614.65 : x
  2. Step 2: Convert to fraction form
    2,174.53/3,261.93 = 614.65/x
  3. Step 3: Cross multiply
    2,174.53x = 3,261.93 × 614.65
  4. Step 4: Simplify right side
    2,174.53x = 2,004,948.20
  5. Step 5: Solve for x
    x = 2,004,948.20/2,174.53
  6. Step 6: Final answer
    x = 922.02

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Why These Related Problems?

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