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Finding the Fourth Proportional to 2,443.67, 3,666.19 and 801.37

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Solution

The fourth proportional to 2,443.67, 3,666.19 and 801.37 is: 1,202.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.67 : 3,666.19 = 801.37 : x
  2. Step 2: Convert to fraction form
    2,443.67/3,666.19 = 801.37/x
  3. Step 3: Cross multiply
    2,443.67x = 3,666.19 × 801.37
  4. Step 4: Simplify right side
    2,443.67x = 2,937,970.67
  5. Step 5: Solve for x
    x = 2,937,970.67/2,443.67
  6. Step 6: Final answer
    x = 1,202.28

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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.