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Finding the Fourth Proportional to 2,775.39, 3,827.16 and 2,243.76

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Solution

The fourth proportional to 2,775.39, 3,827.16 and 2,243.76 is: 3,094.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.39 : 3,827.16 = 2,243.76 : x
  2. Step 2: Convert to fraction form
    2,775.39/3,827.16 = 2,243.76/x
  3. Step 3: Cross multiply
    2,775.39x = 3,827.16 × 2,243.76
  4. Step 4: Simplify right side
    2,775.39x = 8,587,228.52
  5. Step 5: Solve for x
    x = 8,587,228.52/2,775.39
  6. Step 6: Final answer
    x = 3,094.06

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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.