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Finding the Fourth Proportional to 2,697.38, 4,046.07 and 848.63

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Solution

The fourth proportional to 2,697.38, 4,046.07 and 848.63 is: 1,272.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.38 : 4,046.07 = 848.63 : x
  2. Step 2: Convert to fraction form
    2,697.38/4,046.07 = 848.63/x
  3. Step 3: Cross multiply
    2,697.38x = 4,046.07 × 848.63
  4. Step 4: Simplify right side
    2,697.38x = 3,433,616.38
  5. Step 5: Solve for x
    x = 3,433,616.38/2,697.38
  6. Step 6: Final answer
    x = 1,272.95

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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.