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Finding the Fourth Proportional to 2,314.32, 3,471.76 and 775.36

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Solution

The fourth proportional to 2,314.32, 3,471.76 and 775.36 is: 1,163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.32 : 3,471.76 = 775.36 : x
  2. Step 2: Convert to fraction form
    2,314.32/3,471.76 = 775.36/x
  3. Step 3: Cross multiply
    2,314.32x = 3,471.76 × 775.36
  4. Step 4: Simplify right side
    2,314.32x = 2,691,863.83
  5. Step 5: Solve for x
    x = 2,691,863.83/2,314.32
  6. Step 6: Final answer
    x = 1,163.13

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Why These Related Problems?

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