Home / 2,562.98-3,844.66-1,102.14

Finding the Fourth Proportional to 2,562.98, 3,844.66 and 1,102.14

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Solution

The fourth proportional to 2,562.98, 3,844.66 and 1,102.14 is: 1,653.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.98 : 3,844.66 = 1,102.14 : x
  2. Step 2: Convert to fraction form
    2,562.98/3,844.66 = 1,102.14/x
  3. Step 3: Cross multiply
    2,562.98x = 3,844.66 × 1,102.14
  4. Step 4: Simplify right side
    2,562.98x = 4,237,353.57
  5. Step 5: Solve for x
    x = 4,237,353.57/2,562.98
  6. Step 6: Final answer
    x = 1,653.29

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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.