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Finding the Fourth Proportional to 4,614.32, 6,922.56 and 1,694

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Solution

The fourth proportional to 4,614.32, 6,922.56 and 1,694 is: 2,541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.32 : 6,922.56 = 1,694 : x
  2. Step 2: Convert to fraction form
    4,614.32/6,922.56 = 1,694/x
  3. Step 3: Cross multiply
    4,614.32x = 6,922.56 × 1,694
  4. Step 4: Simplify right side
    4,614.32x = 11,726,816.64
  5. Step 5: Solve for x
    x = 11,726,816.64/4,614.32
  6. Step 6: Final answer
    x = 2,541.40

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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.