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Finding the Fourth Proportional to 2,227.01, 3,072.06 and 1,387.85

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Solution

The fourth proportional to 2,227.01, 3,072.06 and 1,387.85 is: 1,914.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.01 : 3,072.06 = 1,387.85 : x
  2. Step 2: Convert to fraction form
    2,227.01/3,072.06 = 1,387.85/x
  3. Step 3: Cross multiply
    2,227.01x = 3,072.06 × 1,387.85
  4. Step 4: Simplify right side
    2,227.01x = 4,263,543.11
  5. Step 5: Solve for x
    x = 4,263,543.11/2,227.01
  6. Step 6: Final answer
    x = 1,914.47

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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.