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Finding the Fourth Proportional to 2,419.57, 3,338.90 and 1,424.89

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Solution

The fourth proportional to 2,419.57, 3,338.90 and 1,424.89 is: 1,966.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.57 : 3,338.90 = 1,424.89 : x
  2. Step 2: Convert to fraction form
    2,419.57/3,338.90 = 1,424.89/x
  3. Step 3: Cross multiply
    2,419.57x = 3,338.90 × 1,424.89
  4. Step 4: Simplify right side
    2,419.57x = 4,757,548.53
  5. Step 5: Solve for x
    x = 4,757,548.53/2,419.57
  6. Step 6: Final answer
    x = 1,966.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.