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Finding the Fourth Proportional to 2,697.15, 4,046.44 and 848.33

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Solution

The fourth proportional to 2,697.15, 4,046.44 and 848.33 is: 1,272.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.15 : 4,046.44 = 848.33 : x
  2. Step 2: Convert to fraction form
    2,697.15/4,046.44 = 848.33/x
  3. Step 3: Cross multiply
    2,697.15x = 4,046.44 × 848.33
  4. Step 4: Simplify right side
    2,697.15x = 3,432,716.45
  5. Step 5: Solve for x
    x = 3,432,716.45/2,697.15
  6. Step 6: Final answer
    x = 1,272.72

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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.