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Finding the Fourth Proportional to 2,469.84, 3,702.12 and 908.40

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Solution

The fourth proportional to 2,469.84, 3,702.12 and 908.40 is: 1,361.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.84 : 3,702.12 = 908.40 : x
  2. Step 2: Convert to fraction form
    2,469.84/3,702.12 = 908.40/x
  3. Step 3: Cross multiply
    2,469.84x = 3,702.12 × 908.40
  4. Step 4: Simplify right side
    2,469.84x = 3,363,005.81
  5. Step 5: Solve for x
    x = 3,363,005.81/2,469.84
  6. Step 6: Final answer
    x = 1,361.63

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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.