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Finding the Fourth Proportional to 2,803.80, 3,841.22 and 2,698.70

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Solution

The fourth proportional to 2,803.80, 3,841.22 and 2,698.70 is: 3,697.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.80 : 3,841.22 = 2,698.70 : x
  2. Step 2: Convert to fraction form
    2,803.80/3,841.22 = 2,698.70/x
  3. Step 3: Cross multiply
    2,803.80x = 3,841.22 × 2,698.70
  4. Step 4: Simplify right side
    2,803.80x = 10,366,300.41
  5. Step 5: Solve for x
    x = 10,366,300.41/2,803.80
  6. Step 6: Final answer
    x = 3,697.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.