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Finding the Fourth Proportional to 1,847.82, 2,772.26 and 616.04

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Solution

The fourth proportional to 1,847.82, 2,772.26 and 616.04 is: 924.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.82 : 2,772.26 = 616.04 : x
  2. Step 2: Convert to fraction form
    1,847.82/2,772.26 = 616.04/x
  3. Step 3: Cross multiply
    1,847.82x = 2,772.26 × 616.04
  4. Step 4: Simplify right side
    1,847.82x = 1,707,806.11
  5. Step 5: Solve for x
    x = 1,707,806.11/1,847.82
  6. Step 6: Final answer
    x = 924.23

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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.