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Finding the Fourth Proportional to 2,444.24, 3,666.82 and 801.94

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Solution

The fourth proportional to 2,444.24, 3,666.82 and 801.94 is: 1,203.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.24 : 3,666.82 = 801.94 : x
  2. Step 2: Convert to fraction form
    2,444.24/3,666.82 = 801.94/x
  3. Step 3: Cross multiply
    2,444.24x = 3,666.82 × 801.94
  4. Step 4: Simplify right side
    2,444.24x = 2,940,569.63
  5. Step 5: Solve for x
    x = 2,940,569.63/2,444.24
  6. Step 6: Final answer
    x = 1,203.06

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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.