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Finding the Fourth Proportional to 2,994.91, 4,133.36 and 2,158.38

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Solution

The fourth proportional to 2,994.91, 4,133.36 and 2,158.38 is: 2,978.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.91 : 4,133.36 = 2,158.38 : x
  2. Step 2: Convert to fraction form
    2,994.91/4,133.36 = 2,158.38/x
  3. Step 3: Cross multiply
    2,994.91x = 4,133.36 × 2,158.38
  4. Step 4: Simplify right side
    2,994.91x = 8,921,366.95
  5. Step 5: Solve for x
    x = 8,921,366.95/2,994.91
  6. Step 6: Final answer
    x = 2,978.85

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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.