Home / 2,098.64-3,151.56-2,006.30

Finding the Fourth Proportional to 2,098.64, 3,151.56 and 2,006.30

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Solution

The fourth proportional to 2,098.64, 3,151.56 and 2,006.30 is: 3,012.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.64 : 3,151.56 = 2,006.30 : x
  2. Step 2: Convert to fraction form
    2,098.64/3,151.56 = 2,006.30/x
  3. Step 3: Cross multiply
    2,098.64x = 3,151.56 × 2,006.30
  4. Step 4: Simplify right side
    2,098.64x = 6,322,974.83
  5. Step 5: Solve for x
    x = 6,322,974.83/2,098.64
  6. Step 6: Final answer
    x = 3,012.89

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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.