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Finding the Fourth Proportional to 3,184.66, 4,394.86 and 1,768.26

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Solution

The fourth proportional to 3,184.66, 4,394.86 and 1,768.26 is: 2,440.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.66 : 4,394.86 = 1,768.26 : x
  2. Step 2: Convert to fraction form
    3,184.66/4,394.86 = 1,768.26/x
  3. Step 3: Cross multiply
    3,184.66x = 4,394.86 × 1,768.26
  4. Step 4: Simplify right side
    3,184.66x = 7,771,255.14
  5. Step 5: Solve for x
    x = 7,771,255.14/3,184.66
  6. Step 6: Final answer
    x = 2,440.22

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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.