Home / 2,278.84-3,414.12-1,584.04

Finding the Fourth Proportional to 2,278.84, 3,414.12 and 1,584.04

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Solution

The fourth proportional to 2,278.84, 3,414.12 and 1,584.04 is: 2,373.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.84 : 3,414.12 = 1,584.04 : x
  2. Step 2: Convert to fraction form
    2,278.84/3,414.12 = 1,584.04/x
  3. Step 3: Cross multiply
    2,278.84x = 3,414.12 × 1,584.04
  4. Step 4: Simplify right side
    2,278.84x = 5,408,102.64
  5. Step 5: Solve for x
    x = 5,408,102.64/2,278.84
  6. Step 6: Final answer
    x = 2,373.18

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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.