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Finding the Fourth Proportional to 2,551.16, 3,824.42 and 907.31

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Solution

The fourth proportional to 2,551.16, 3,824.42 and 907.31 is: 1,360.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.16 : 3,824.42 = 907.31 : x
  2. Step 2: Convert to fraction form
    2,551.16/3,824.42 = 907.31/x
  3. Step 3: Cross multiply
    2,551.16x = 3,824.42 × 907.31
  4. Step 4: Simplify right side
    2,551.16x = 3,469,910.85
  5. Step 5: Solve for x
    x = 3,469,910.85/2,551.16
  6. Step 6: Final answer
    x = 1,360.13

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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.