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Finding the Fourth Proportional to 1,862.41, 2,793.62 and 563.89

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Solution

The fourth proportional to 1,862.41, 2,793.62 and 563.89 is: 845.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.41 : 2,793.62 = 563.89 : x
  2. Step 2: Convert to fraction form
    1,862.41/2,793.62 = 563.89/x
  3. Step 3: Cross multiply
    1,862.41x = 2,793.62 × 563.89
  4. Step 4: Simplify right side
    1,862.41x = 1,575,294.38
  5. Step 5: Solve for x
    x = 1,575,294.38/1,862.41
  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.