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Finding the Fourth Proportional to 2,797.40, 3,859.98 and 1,618.58

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Solution

The fourth proportional to 2,797.40, 3,859.98 and 1,618.58 is: 2,233.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.40 : 3,859.98 = 1,618.58 : x
  2. Step 2: Convert to fraction form
    2,797.40/3,859.98 = 1,618.58/x
  3. Step 3: Cross multiply
    2,797.40x = 3,859.98 × 1,618.58
  4. Step 4: Simplify right side
    2,797.40x = 6,247,686.43
  5. Step 5: Solve for x
    x = 6,247,686.43/2,797.40
  6. Step 6: Final answer
    x = 2,233.39

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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.