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Finding the Fourth Proportional to 2,785.34, 4,178.06 and 911.22

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Solution

The fourth proportional to 2,785.34, 4,178.06 and 911.22 is: 1,366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.34 : 4,178.06 = 911.22 : x
  2. Step 2: Convert to fraction form
    2,785.34/4,178.06 = 911.22/x
  3. Step 3: Cross multiply
    2,785.34x = 4,178.06 × 911.22
  4. Step 4: Simplify right side
    2,785.34x = 3,807,131.83
  5. Step 5: Solve for x
    x = 3,807,131.83/2,785.34
  6. Step 6: Final answer
    x = 1,366.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.