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Finding the Fourth Proportional to 2,087.68, 2,894.18 and 1,976.71

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Solution

The fourth proportional to 2,087.68, 2,894.18 and 1,976.71 is: 2,740.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.68 : 2,894.18 = 1,976.71 : x
  2. Step 2: Convert to fraction form
    2,087.68/2,894.18 = 1,976.71/x
  3. Step 3: Cross multiply
    2,087.68x = 2,894.18 × 1,976.71
  4. Step 4: Simplify right side
    2,087.68x = 5,720,954.55
  5. Step 5: Solve for x
    x = 5,720,954.55/2,087.68
  6. Step 6: Final answer
    x = 2,740.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.