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Finding the Fourth Proportional to 2,174.42, 2,997.12 and 1,510.12

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Solution

The fourth proportional to 2,174.42, 2,997.12 and 1,510.12 is: 2,081.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.42 : 2,997.12 = 1,510.12 : x
  2. Step 2: Convert to fraction form
    2,174.42/2,997.12 = 1,510.12/x
  3. Step 3: Cross multiply
    2,174.42x = 2,997.12 × 1,510.12
  4. Step 4: Simplify right side
    2,174.42x = 4,526,010.85
  5. Step 5: Solve for x
    x = 4,526,010.85/2,174.42
  6. Step 6: Final answer
    x = 2,081.48

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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.