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Finding the Fourth Proportional to 2,074.12, 3,108.57 and 976.06

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Solution

The fourth proportional to 2,074.12, 3,108.57 and 976.06 is: 1,462.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.12 : 3,108.57 = 976.06 : x
  2. Step 2: Convert to fraction form
    2,074.12/3,108.57 = 976.06/x
  3. Step 3: Cross multiply
    2,074.12x = 3,108.57 × 976.06
  4. Step 4: Simplify right side
    2,074.12x = 3,034,150.83
  5. Step 5: Solve for x
    x = 3,034,150.83/2,074.12
  6. Step 6: Final answer
    x = 1,462.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.