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Finding the Fourth Proportional to 2,551.16, 3,826.04 and 701.83

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Solution

The fourth proportional to 2,551.16, 3,826.04 and 701.83 is: 1,052.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.16 : 3,826.04 = 701.83 : x
  2. Step 2: Convert to fraction form
    2,551.16/3,826.04 = 701.83/x
  3. Step 3: Cross multiply
    2,551.16x = 3,826.04 × 701.83
  4. Step 4: Simplify right side
    2,551.16x = 2,685,230.93
  5. Step 5: Solve for x
    x = 2,685,230.93/2,551.16
  6. Step 6: Final answer
    x = 1,052.55

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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.