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Finding the Fourth Proportional to 3,370.22, 5,055.14 and 1,178.90

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Solution

The fourth proportional to 3,370.22, 5,055.14 and 1,178.90 is: 1,768.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,370.22 : 5,055.14 = 1,178.90 : x
  2. Step 2: Convert to fraction form
    3,370.22/5,055.14 = 1,178.90/x
  3. Step 3: Cross multiply
    3,370.22x = 5,055.14 × 1,178.90
  4. Step 4: Simplify right side
    3,370.22x = 5,959,504.55
  5. Step 5: Solve for x
    x = 5,959,504.55/3,370.22
  6. Step 6: Final answer
    x = 1,768.28

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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.