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Finding the Fourth Proportional to 3,110.04, 4,665.24 and 801.54

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Solution

The fourth proportional to 3,110.04, 4,665.24 and 801.54 is: 1,202.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110.04 : 4,665.24 = 801.54 : x
  2. Step 2: Convert to fraction form
    3,110.04/4,665.24 = 801.54/x
  3. Step 3: Cross multiply
    3,110.04x = 4,665.24 × 801.54
  4. Step 4: Simplify right side
    3,110.04x = 3,739,376.47
  5. Step 5: Solve for x
    x = 3,739,376.47/3,110.04
  6. Step 6: Final answer
    x = 1,202.36

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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.