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Finding the Fourth Proportional to 2,278.46, 3,409.38 and 2,104.22

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Solution

The fourth proportional to 2,278.46, 3,409.38 and 2,104.22 is: 3,148.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.46 : 3,409.38 = 2,104.22 : x
  2. Step 2: Convert to fraction form
    2,278.46/3,409.38 = 2,104.22/x
  3. Step 3: Cross multiply
    2,278.46x = 3,409.38 × 2,104.22
  4. Step 4: Simplify right side
    2,278.46x = 7,174,085.58
  5. Step 5: Solve for x
    x = 7,174,085.58/2,278.46
  6. Step 6: Final answer
    x = 3,148.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.