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Finding the Fourth Proportional to 2,892.14, 3,991.14 and 1,565.84

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Solution

The fourth proportional to 2,892.14, 3,991.14 and 1,565.84 is: 2,160.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.14 : 3,991.14 = 1,565.84 : x
  2. Step 2: Convert to fraction form
    2,892.14/3,991.14 = 1,565.84/x
  3. Step 3: Cross multiply
    2,892.14x = 3,991.14 × 1,565.84
  4. Step 4: Simplify right side
    2,892.14x = 6,249,466.70
  5. Step 5: Solve for x
    x = 6,249,466.70/2,892.14
  6. Step 6: Final answer
    x = 2,160.85

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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.