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Finding the Fourth Proportional to 2,798.82, 3,861.39 and 1,736.20

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Solution

The fourth proportional to 2,798.82, 3,861.39 and 1,736.20 is: 2,395.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.82 : 3,861.39 = 1,736.20 : x
  2. Step 2: Convert to fraction form
    2,798.82/3,861.39 = 1,736.20/x
  3. Step 3: Cross multiply
    2,798.82x = 3,861.39 × 1,736.20
  4. Step 4: Simplify right side
    2,798.82x = 6,704,139.75
  5. Step 5: Solve for x
    x = 6,704,139.75/2,798.82
  6. Step 6: Final answer
    x = 2,395.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.