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Finding the Fourth Proportional to 2,638.24, 3,958.40 and 907.04

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Solution

The fourth proportional to 2,638.24, 3,958.40 and 907.04 is: 1,360.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.24 : 3,958.40 = 907.04 : x
  2. Step 2: Convert to fraction form
    2,638.24/3,958.40 = 907.04/x
  3. Step 3: Cross multiply
    2,638.24x = 3,958.40 × 907.04
  4. Step 4: Simplify right side
    2,638.24x = 3,590,427.14
  5. Step 5: Solve for x
    x = 3,590,427.14/2,638.24
  6. Step 6: Final answer
    x = 1,360.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.