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Finding the Fourth Proportional to 2,686.12, 3,707.22 and 2,243.32

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Solution

The fourth proportional to 2,686.12, 3,707.22 and 2,243.32 is: 3,096.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.12 : 3,707.22 = 2,243.32 : x
  2. Step 2: Convert to fraction form
    2,686.12/3,707.22 = 2,243.32/x
  3. Step 3: Cross multiply
    2,686.12x = 3,707.22 × 2,243.32
  4. Step 4: Simplify right side
    2,686.12x = 8,316,480.77
  5. Step 5: Solve for x
    x = 8,316,480.77/2,686.12
  6. Step 6: Final answer
    x = 3,096.09

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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.