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Finding the Fourth Proportional to 2,419.35, 3,629.19 and 958.50

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Solution

The fourth proportional to 2,419.35, 3,629.19 and 958.50 is: 1,437.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.35 : 3,629.19 = 958.50 : x
  2. Step 2: Convert to fraction form
    2,419.35/3,629.19 = 958.50/x
  3. Step 3: Cross multiply
    2,419.35x = 3,629.19 × 958.50
  4. Step 4: Simplify right side
    2,419.35x = 3,478,576.82
  5. Step 5: Solve for x
    x = 3,478,576.82/2,419.35
  6. Step 6: Final answer
    x = 1,437.81

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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.