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Finding the Fourth Proportional to 2,174.06, 3,000.56 and 1,230.27

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Solution

The fourth proportional to 2,174.06, 3,000.56 and 1,230.27 is: 1,697.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.06 : 3,000.56 = 1,230.27 : x
  2. Step 2: Convert to fraction form
    2,174.06/3,000.56 = 1,230.27/x
  3. Step 3: Cross multiply
    2,174.06x = 3,000.56 × 1,230.27
  4. Step 4: Simplify right side
    2,174.06x = 3,691,492.80
  5. Step 5: Solve for x
    x = 3,691,492.80/2,174.06
  6. Step 6: Final answer
    x = 1,697.98

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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.