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Finding the Fourth Proportional to 2,246.48, 3,100.19 and 1,238.22

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Solution

The fourth proportional to 2,246.48, 3,100.19 and 1,238.22 is: 1,708.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.48 : 3,100.19 = 1,238.22 : x
  2. Step 2: Convert to fraction form
    2,246.48/3,100.19 = 1,238.22/x
  3. Step 3: Cross multiply
    2,246.48x = 3,100.19 × 1,238.22
  4. Step 4: Simplify right side
    2,246.48x = 3,838,711.07
  5. Step 5: Solve for x
    x = 3,838,711.07/2,246.48
  6. Step 6: Final answer
    x = 1,708.77

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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.