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Finding the Fourth Proportional to 2,686.41, 4,029.12 and 738.18

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Solution

The fourth proportional to 2,686.41, 4,029.12 and 738.18 is: 1,107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.41 : 4,029.12 = 738.18 : x
  2. Step 2: Convert to fraction form
    2,686.41/4,029.12 = 738.18/x
  3. Step 3: Cross multiply
    2,686.41x = 4,029.12 × 738.18
  4. Step 4: Simplify right side
    2,686.41x = 2,974,215.80
  5. Step 5: Solve for x
    x = 2,974,215.80/2,686.41
  6. Step 6: Final answer
    x = 1,107.13

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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.