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Finding the Fourth Proportional to 3,442.66, 5,164.33 and 1,102.08

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Solution

The fourth proportional to 3,442.66, 5,164.33 and 1,102.08 is: 1,653.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.66 : 5,164.33 = 1,102.08 : x
  2. Step 2: Convert to fraction form
    3,442.66/5,164.33 = 1,102.08/x
  3. Step 3: Cross multiply
    3,442.66x = 5,164.33 × 1,102.08
  4. Step 4: Simplify right side
    3,442.66x = 5,691,478.98
  5. Step 5: Solve for x
    x = 5,691,478.98/3,442.66
  6. Step 6: Final answer
    x = 1,653.22

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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.