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Finding the Fourth Proportional to 3,314.22, 4,969.45 and 1,340.79

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Solution

The fourth proportional to 3,314.22, 4,969.45 and 1,340.79 is: 2,010.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.22 : 4,969.45 = 1,340.79 : x
  2. Step 2: Convert to fraction form
    3,314.22/4,969.45 = 1,340.79/x
  3. Step 3: Cross multiply
    3,314.22x = 4,969.45 × 1,340.79
  4. Step 4: Simplify right side
    3,314.22x = 6,662,971.91
  5. Step 5: Solve for x
    x = 6,662,971.91/3,314.22
  6. Step 6: Final answer
    x = 2,010.42

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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.