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Finding the Fourth Proportional to 2,695.52, 4,043.25 and 694.19

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Solution

The fourth proportional to 2,695.52, 4,043.25 and 694.19 is: 1,041.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.52 : 4,043.25 = 694.19 : x
  2. Step 2: Convert to fraction form
    2,695.52/4,043.25 = 694.19/x
  3. Step 3: Cross multiply
    2,695.52x = 4,043.25 × 694.19
  4. Step 4: Simplify right side
    2,695.52x = 2,806,793.83
  5. Step 5: Solve for x
    x = 2,806,793.83/2,695.52
  6. Step 6: Final answer
    x = 1,041.28

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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.