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Finding the Fourth Proportional to 1,862, 2,793.45 and 563.48

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Solution

The fourth proportional to 1,862, 2,793.45 and 563.48 is: 845.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862 : 2,793.45 = 563.48 : x
  2. Step 2: Convert to fraction form
    1,862/2,793.45 = 563.48/x
  3. Step 3: Cross multiply
    1,862x = 2,793.45 × 563.48
  4. Step 4: Simplify right side
    1,862x = 1,574,053.21
  5. Step 5: Solve for x
    x = 1,574,053.21/1,862
  6. Step 6: Final answer
    x = 845.36

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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.