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Finding the Fourth Proportional to 1,862.38, 2,793.30 and 563.95

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Solution

The fourth proportional to 1,862.38, 2,793.30 and 563.95 is: 845.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.38 : 2,793.30 = 563.95 : x
  2. Step 2: Convert to fraction form
    1,862.38/2,793.30 = 563.95/x
  3. Step 3: Cross multiply
    1,862.38x = 2,793.30 × 563.95
  4. Step 4: Simplify right side
    1,862.38x = 1,575,281.54
  5. Step 5: Solve for x
    x = 1,575,281.54/1,862.38
  6. Step 6: Final answer
    x = 845.84

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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.