Home / 2,098.70-3,145.95-1,057.10

Finding the Fourth Proportional to 2,098.70, 3,145.95 and 1,057.10

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Solution

The fourth proportional to 2,098.70, 3,145.95 and 1,057.10 is: 1,584.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.70 : 3,145.95 = 1,057.10 : x
  2. Step 2: Convert to fraction form
    2,098.70/3,145.95 = 1,057.10/x
  3. Step 3: Cross multiply
    2,098.70x = 3,145.95 × 1,057.10
  4. Step 4: Simplify right side
    2,098.70x = 3,325,583.75
  5. Step 5: Solve for x
    x = 3,325,583.75/2,098.70
  6. Step 6: Final answer
    x = 1,584.59

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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.