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Finding the Fourth Proportional to 1,835.75, 2,749.92 and 847.17

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Solution

The fourth proportional to 1,835.75, 2,749.92 and 847.17 is: 1,269.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.75 : 2,749.92 = 847.17 : x
  2. Step 2: Convert to fraction form
    1,835.75/2,749.92 = 847.17/x
  3. Step 3: Cross multiply
    1,835.75x = 2,749.92 × 847.17
  4. Step 4: Simplify right side
    1,835.75x = 2,329,649.73
  5. Step 5: Solve for x
    x = 2,329,649.73/1,835.75
  6. Step 6: Final answer
    x = 1,269.05

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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.