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Finding the Fourth Proportional to 1,384.22, 1,912.08 and 1,285.80

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Solution

The fourth proportional to 1,384.22, 1,912.08 and 1,285.80 is: 1,776.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.22 : 1,912.08 = 1,285.80 : x
  2. Step 2: Convert to fraction form
    1,384.22/1,912.08 = 1,285.80/x
  3. Step 3: Cross multiply
    1,384.22x = 1,912.08 × 1,285.80
  4. Step 4: Simplify right side
    1,384.22x = 2,458,552.46
  5. Step 5: Solve for x
    x = 2,458,552.46/1,384.22
  6. Step 6: Final answer
    x = 1,776.13

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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.