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Finding the Fourth Proportional to 2,274.84, 3,408.12 and 1,580.04

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Solution

The fourth proportional to 2,274.84, 3,408.12 and 1,580.04 is: 2,367.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.84 : 3,408.12 = 1,580.04 : x
  2. Step 2: Convert to fraction form
    2,274.84/3,408.12 = 1,580.04/x
  3. Step 3: Cross multiply
    2,274.84x = 3,408.12 × 1,580.04
  4. Step 4: Simplify right side
    2,274.84x = 5,384,965.92
  5. Step 5: Solve for x
    x = 5,384,965.92/2,274.84
  6. Step 6: Final answer
    x = 2,367.18

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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.