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Finding the Fourth Proportional to 2,695.22, 4,042.83 and 747.42

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Solution

The fourth proportional to 2,695.22, 4,042.83 and 747.42 is: 1,121.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.22 : 4,042.83 = 747.42 : x
  2. Step 2: Convert to fraction form
    2,695.22/4,042.83 = 747.42/x
  3. Step 3: Cross multiply
    2,695.22x = 4,042.83 × 747.42
  4. Step 4: Simplify right side
    2,695.22x = 3,021,698.18
  5. Step 5: Solve for x
    x = 3,021,698.18/2,695.22
  6. Step 6: Final answer
    x = 1,121.13

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1.5x scale

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.