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Finding the Fourth Proportional to 2,797.18, 3,859.98 and 1,677.88

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Solution

The fourth proportional to 2,797.18, 3,859.98 and 1,677.88 is: 2,315.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.18 : 3,859.98 = 1,677.88 : x
  2. Step 2: Convert to fraction form
    2,797.18/3,859.98 = 1,677.88/x
  3. Step 3: Cross multiply
    2,797.18x = 3,859.98 × 1,677.88
  4. Step 4: Simplify right side
    2,797.18x = 6,476,583.24
  5. Step 5: Solve for x
    x = 6,476,583.24/2,797.18
  6. Step 6: Final answer
    x = 2,315.40

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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.