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Finding the Fourth Proportional to 2,496.96, 3,745.76 and 959.04

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Solution

The fourth proportional to 2,496.96, 3,745.76 and 959.04 is: 1,438.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.96 : 3,745.76 = 959.04 : x
  2. Step 2: Convert to fraction form
    2,496.96/3,745.76 = 959.04/x
  3. Step 3: Cross multiply
    2,496.96x = 3,745.76 × 959.04
  4. Step 4: Simplify right side
    2,496.96x = 3,592,333.67
  5. Step 5: Solve for x
    x = 3,592,333.67/2,496.96
  6. Step 6: Final answer
    x = 1,438.68

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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.