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Finding the Fourth Proportional to 2,894.23, 3,994.04 and 1,567.92

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Solution

The fourth proportional to 2,894.23, 3,994.04 and 1,567.92 is: 2,163.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.23 : 3,994.04 = 1,567.92 : x
  2. Step 2: Convert to fraction form
    2,894.23/3,994.04 = 1,567.92/x
  3. Step 3: Cross multiply
    2,894.23x = 3,994.04 × 1,567.92
  4. Step 4: Simplify right side
    2,894.23x = 6,262,354.09
  5. Step 5: Solve for x
    x = 6,262,354.09/2,894.23
  6. Step 6: Final answer
    x = 2,163.74

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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.