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Finding the Fourth Proportional to 2,174.20, 3,000.16 and 1,242.72

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Solution

The fourth proportional to 2,174.20, 3,000.16 and 1,242.72 is: 1,714.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.20 : 3,000.16 = 1,242.72 : x
  2. Step 2: Convert to fraction form
    2,174.20/3,000.16 = 1,242.72/x
  3. Step 3: Cross multiply
    2,174.20x = 3,000.16 × 1,242.72
  4. Step 4: Simplify right side
    2,174.20x = 3,728,358.84
  5. Step 5: Solve for x
    x = 3,728,358.84/2,174.20
  6. Step 6: Final answer
    x = 1,714.82

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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.