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Finding the Fourth Proportional to 2,198.76, 3,298.86 and 883.14

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Solution

The fourth proportional to 2,198.76, 3,298.86 and 883.14 is: 1,325.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.76 : 3,298.86 = 883.14 : x
  2. Step 2: Convert to fraction form
    2,198.76/3,298.86 = 883.14/x
  3. Step 3: Cross multiply
    2,198.76x = 3,298.86 × 883.14
  4. Step 4: Simplify right side
    2,198.76x = 2,913,370.90
  5. Step 5: Solve for x
    x = 2,913,370.90/2,198.76
  6. Step 6: Final answer
    x = 1,325.01

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Similar ratio
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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.