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Finding the Fourth Proportional to 2,718.80, 4,076.91 and 869.48

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Solution

The fourth proportional to 2,718.80, 4,076.91 and 869.48 is: 1,303.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.80 : 4,076.91 = 869.48 : x
  2. Step 2: Convert to fraction form
    2,718.80/4,076.91 = 869.48/x
  3. Step 3: Cross multiply
    2,718.80x = 4,076.91 × 869.48
  4. Step 4: Simplify right side
    2,718.80x = 3,544,791.71
  5. Step 5: Solve for x
    x = 3,544,791.71/2,718.80
  6. Step 6: Final answer
    x = 1,303.81

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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.