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Finding the Fourth Proportional to 2,717.82, 4,076.80 and 868.98

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Solution

The fourth proportional to 2,717.82, 4,076.80 and 868.98 is: 1,303.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.82 : 4,076.80 = 868.98 : x
  2. Step 2: Convert to fraction form
    2,717.82/4,076.80 = 868.98/x
  3. Step 3: Cross multiply
    2,717.82x = 4,076.80 × 868.98
  4. Step 4: Simplify right side
    2,717.82x = 3,542,657.66
  5. Step 5: Solve for x
    x = 3,542,657.66/2,717.82
  6. Step 6: Final answer
    x = 1,303.49

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1.5x scale

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.