Home / 2,202.84-3,037.68-1,456.02

Finding the Fourth Proportional to 2,202.84, 3,037.68 and 1,456.02

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Solution

The fourth proportional to 2,202.84, 3,037.68 and 1,456.02 is: 2,007.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.84 : 3,037.68 = 1,456.02 : x
  2. Step 2: Convert to fraction form
    2,202.84/3,037.68 = 1,456.02/x
  3. Step 3: Cross multiply
    2,202.84x = 3,037.68 × 1,456.02
  4. Step 4: Simplify right side
    2,202.84x = 4,422,922.83
  5. Step 5: Solve for x
    x = 4,422,922.83/2,202.84
  6. Step 6: Final answer
    x = 2,007.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.