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Finding the Fourth Proportional to 2,638.40, 3,958.24 and 907.04

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Solution

The fourth proportional to 2,638.40, 3,958.24 and 907.04 is: 1,360.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.40 : 3,958.24 = 907.04 : x
  2. Step 2: Convert to fraction form
    2,638.40/3,958.24 = 907.04/x
  3. Step 3: Cross multiply
    2,638.40x = 3,958.24 × 907.04
  4. Step 4: Simplify right side
    2,638.40x = 3,590,282.01
  5. Step 5: Solve for x
    x = 3,590,282.01/2,638.40
  6. Step 6: Final answer
    x = 1,360.78

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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.