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Finding the Fourth Proportional to 2,686.27, 4,029.53 and 738.49

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Solution

The fourth proportional to 2,686.27, 4,029.53 and 738.49 is: 1,107.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.27 : 4,029.53 = 738.49 : x
  2. Step 2: Convert to fraction form
    2,686.27/4,029.53 = 738.49/x
  3. Step 3: Cross multiply
    2,686.27x = 4,029.53 × 738.49
  4. Step 4: Simplify right side
    2,686.27x = 2,975,763.92
  5. Step 5: Solve for x
    x = 2,975,763.92/2,686.27
  6. Step 6: Final answer
    x = 1,107.77

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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.