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Finding the Fourth Proportional to 2,699.54, 4,046.70 and 849.36

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Solution

The fourth proportional to 2,699.54, 4,046.70 and 849.36 is: 1,273.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.54 : 4,046.70 = 849.36 : x
  2. Step 2: Convert to fraction form
    2,699.54/4,046.70 = 849.36/x
  3. Step 3: Cross multiply
    2,699.54x = 4,046.70 × 849.36
  4. Step 4: Simplify right side
    2,699.54x = 3,437,105.11
  5. Step 5: Solve for x
    x = 3,437,105.11/2,699.54
  6. Step 6: Final answer
    x = 1,273.22

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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.