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Finding the Fourth Proportional to 2,694.20, 4,041.52 and 746.40

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Solution

The fourth proportional to 2,694.20, 4,041.52 and 746.40 is: 1,119.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.20 : 4,041.52 = 746.40 : x
  2. Step 2: Convert to fraction form
    2,694.20/4,041.52 = 746.40/x
  3. Step 3: Cross multiply
    2,694.20x = 4,041.52 × 746.40
  4. Step 4: Simplify right side
    2,694.20x = 3,016,590.53
  5. Step 5: Solve for x
    x = 3,016,590.53/2,694.20
  6. Step 6: Final answer
    x = 1,119.66

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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.