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Finding the Fourth Proportional to 2,309.02, 3,461.46 and 847.82

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Solution

The fourth proportional to 2,309.02, 3,461.46 and 847.82 is: 1,270.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.02 : 3,461.46 = 847.82 : x
  2. Step 2: Convert to fraction form
    2,309.02/3,461.46 = 847.82/x
  3. Step 3: Cross multiply
    2,309.02x = 3,461.46 × 847.82
  4. Step 4: Simplify right side
    2,309.02x = 2,934,695.02
  5. Step 5: Solve for x
    x = 2,934,695.02/2,309.02
  6. Step 6: Final answer
    x = 1,270.97

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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.