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Finding the Fourth Proportional to 2,601.78, 3,903.24 and 870.36

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Solution

The fourth proportional to 2,601.78, 3,903.24 and 870.36 is: 1,305.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.78 : 3,903.24 = 870.36 : x
  2. Step 2: Convert to fraction form
    2,601.78/3,903.24 = 870.36/x
  3. Step 3: Cross multiply
    2,601.78x = 3,903.24 × 870.36
  4. Step 4: Simplify right side
    2,601.78x = 3,397,223.97
  5. Step 5: Solve for x
    x = 3,397,223.97/2,601.78
  6. Step 6: Final answer
    x = 1,305.73

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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.