Home / 1,442.20-2,164.10-1,097.68

Finding the Fourth Proportional to 1,442.20, 2,164.10 and 1,097.68

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Solution

The fourth proportional to 1,442.20, 2,164.10 and 1,097.68 is: 1,647.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.20 : 2,164.10 = 1,097.68 : x
  2. Step 2: Convert to fraction form
    1,442.20/2,164.10 = 1,097.68/x
  3. Step 3: Cross multiply
    1,442.20x = 2,164.10 × 1,097.68
  4. Step 4: Simplify right side
    1,442.20x = 2,375,472.98
  5. Step 5: Solve for x
    x = 2,375,472.98/1,442.20
  6. Step 6: Final answer
    x = 1,647.12

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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.