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Finding the Fourth Proportional to 2,892.15, 3,991.14 and 1,565.83

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Solution

The fourth proportional to 2,892.15, 3,991.14 and 1,565.83 is: 2,160.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.15 : 3,991.14 = 1,565.83 : x
  2. Step 2: Convert to fraction form
    2,892.15/3,991.14 = 1,565.83/x
  3. Step 3: Cross multiply
    2,892.15x = 3,991.14 × 1,565.83
  4. Step 4: Simplify right side
    2,892.15x = 6,249,446.75
  5. Step 5: Solve for x
    x = 6,249,446.75/2,892.15
  6. Step 6: Final answer
    x = 2,160.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.