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Finding the Fourth Proportional to 2,074.57, 3,112.04 and 687.91

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Solution

The fourth proportional to 2,074.57, 3,112.04 and 687.91 is: 1,031.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.57 : 3,112.04 = 687.91 : x
  2. Step 2: Convert to fraction form
    2,074.57/3,112.04 = 687.91/x
  3. Step 3: Cross multiply
    2,074.57x = 3,112.04 × 687.91
  4. Step 4: Simplify right side
    2,074.57x = 2,140,803.44
  5. Step 5: Solve for x
    x = 2,140,803.44/2,074.57
  6. Step 6: Final answer
    x = 1,031.93

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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.