Home / 2,562.32-3,842.28-1,100

Finding the Fourth Proportional to 2,562.32, 3,842.28 and 1,100

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Solution

The fourth proportional to 2,562.32, 3,842.28 and 1,100 is: 1,649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.32 : 3,842.28 = 1,100 : x
  2. Step 2: Convert to fraction form
    2,562.32/3,842.28 = 1,100/x
  3. Step 3: Cross multiply
    2,562.32x = 3,842.28 × 1,100
  4. Step 4: Simplify right side
    2,562.32x = 4,226,508
  5. Step 5: Solve for x
    x = 4,226,508/2,562.32
  6. Step 6: Final answer
    x = 1,649.48

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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.