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Finding the Fourth Proportional to 2,798.76, 4,198.12 and 746.76

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Solution

The fourth proportional to 2,798.76, 4,198.12 and 746.76 is: 1,120.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.76 : 4,198.12 = 746.76 : x
  2. Step 2: Convert to fraction form
    2,798.76/4,198.12 = 746.76/x
  3. Step 3: Cross multiply
    2,798.76x = 4,198.12 × 746.76
  4. Step 4: Simplify right side
    2,798.76x = 3,134,988.09
  5. Step 5: Solve for x
    x = 3,134,988.09/2,798.76
  6. Step 6: Final answer
    x = 1,120.13

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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.