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Finding the Fourth Proportional to 2,419.90, 3,339.78 and 1,372

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Solution

The fourth proportional to 2,419.90, 3,339.78 and 1,372 is: 1,893.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.90 : 3,339.78 = 1,372 : x
  2. Step 2: Convert to fraction form
    2,419.90/3,339.78 = 1,372/x
  3. Step 3: Cross multiply
    2,419.90x = 3,339.78 × 1,372
  4. Step 4: Simplify right side
    2,419.90x = 4,582,178.16
  5. Step 5: Solve for x
    x = 4,582,178.16/2,419.90
  6. Step 6: Final answer
    x = 1,893.54

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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.