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Finding the Fourth Proportional to 2,419.78, 3,629.76 and 958.93

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Solution

The fourth proportional to 2,419.78, 3,629.76 and 958.93 is: 1,438.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.78 : 3,629.76 = 958.93 : x
  2. Step 2: Convert to fraction form
    2,419.78/3,629.76 = 958.93/x
  3. Step 3: Cross multiply
    2,419.78x = 3,629.76 × 958.93
  4. Step 4: Simplify right side
    2,419.78x = 3,480,685.76
  5. Step 5: Solve for x
    x = 3,480,685.76/2,419.78
  6. Step 6: Final answer
    x = 1,438.43

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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.