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Finding the Fourth Proportional to 2,770.81, 3,828.57 and 2,215.86

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Solution

The fourth proportional to 2,770.81, 3,828.57 and 2,215.86 is: 3,061.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.81 : 3,828.57 = 2,215.86 : x
  2. Step 2: Convert to fraction form
    2,770.81/3,828.57 = 2,215.86/x
  3. Step 3: Cross multiply
    2,770.81x = 3,828.57 × 2,215.86
  4. Step 4: Simplify right side
    2,770.81x = 8,483,575.12
  5. Step 5: Solve for x
    x = 8,483,575.12/2,770.81
  6. Step 6: Final answer
    x = 3,061.77

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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.