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Finding the Fourth Proportional to 3,314.40, 4,971.78 and 849.24

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Solution

The fourth proportional to 3,314.40, 4,971.78 and 849.24 is: 1,273.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.40 : 4,971.78 = 849.24 : x
  2. Step 2: Convert to fraction form
    3,314.40/4,971.78 = 849.24/x
  3. Step 3: Cross multiply
    3,314.40x = 4,971.78 × 849.24
  4. Step 4: Simplify right side
    3,314.40x = 4,222,234.45
  5. Step 5: Solve for x
    x = 4,222,234.45/3,314.40
  6. Step 6: Final answer
    x = 1,273.91

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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.