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Finding the Fourth Proportional to 2,174.43, 3,000.69 and 1,230.28

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Solution

The fourth proportional to 2,174.43, 3,000.69 and 1,230.28 is: 1,697.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.43 : 3,000.69 = 1,230.28 : x
  2. Step 2: Convert to fraction form
    2,174.43/3,000.69 = 1,230.28/x
  3. Step 3: Cross multiply
    2,174.43x = 3,000.69 × 1,230.28
  4. Step 4: Simplify right side
    2,174.43x = 3,691,681.39
  5. Step 5: Solve for x
    x = 3,691,681.39/2,174.43
  6. Step 6: Final answer
    x = 1,697.77

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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.