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Finding the Fourth Proportional to 2,467, 3,404.46 and 1,419.70

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Solution

The fourth proportional to 2,467, 3,404.46 and 1,419.70 is: 1,959.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467 : 3,404.46 = 1,419.70 : x
  2. Step 2: Convert to fraction form
    2,467/3,404.46 = 1,419.70/x
  3. Step 3: Cross multiply
    2,467x = 3,404.46 × 1,419.70
  4. Step 4: Simplify right side
    2,467x = 4,833,311.86
  5. Step 5: Solve for x
    x = 4,833,311.86/2,467
  6. Step 6: Final answer
    x = 1,959.19

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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.