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Finding the Fourth Proportional to 2,174.24, 3,000.43 and 1,230.02

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Solution

The fourth proportional to 2,174.24, 3,000.43 and 1,230.02 is: 1,697.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.24 : 3,000.43 = 1,230.02 : x
  2. Step 2: Convert to fraction form
    2,174.24/3,000.43 = 1,230.02/x
  3. Step 3: Cross multiply
    2,174.24x = 3,000.43 × 1,230.02
  4. Step 4: Simplify right side
    2,174.24x = 3,690,586.70
  5. Step 5: Solve for x
    x = 3,690,586.70/2,174.24
  6. Step 6: Final answer
    x = 1,697.41

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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.