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Finding the Fourth Proportional to 2,894.29, 3,994.36 and 1,635.41

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Solution

The fourth proportional to 2,894.29, 3,994.36 and 1,635.41 is: 2,257.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.29 : 3,994.36 = 1,635.41 : x
  2. Step 2: Convert to fraction form
    2,894.29/3,994.36 = 1,635.41/x
  3. Step 3: Cross multiply
    2,894.29x = 3,994.36 × 1,635.41
  4. Step 4: Simplify right side
    2,894.29x = 6,532,422.18
  5. Step 5: Solve for x
    x = 6,532,422.18/2,894.29
  6. Step 6: Final answer
    x = 2,257.01

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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.