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Finding the Fourth Proportional to 1,542.19, 2,310.85 and 847.83

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Solution

The fourth proportional to 1,542.19, 2,310.85 and 847.83 is: 1,270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.19 : 2,310.85 = 847.83 : x
  2. Step 2: Convert to fraction form
    1,542.19/2,310.85 = 847.83/x
  3. Step 3: Cross multiply
    1,542.19x = 2,310.85 × 847.83
  4. Step 4: Simplify right side
    1,542.19x = 1,959,207.96
  5. Step 5: Solve for x
    x = 1,959,207.96/1,542.19
  6. Step 6: Final answer
    x = 1,270.41

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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.