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Finding the Fourth Proportional to 2,826.52, 4,214.95 and 2,763.74

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Solution

The fourth proportional to 2,826.52, 4,214.95 and 2,763.74 is: 4,121.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.52 : 4,214.95 = 2,763.74 : x
  2. Step 2: Convert to fraction form
    2,826.52/4,214.95 = 2,763.74/x
  3. Step 3: Cross multiply
    2,826.52x = 4,214.95 × 2,763.74
  4. Step 4: Simplify right side
    2,826.52x = 11,649,029.54
  5. Step 5: Solve for x
    x = 11,649,029.54/2,826.52
  6. Step 6: Final answer
    x = 4,121.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.