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Finding the Fourth Proportional to 2,005.31, 3,007.60 and 544.28

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Solution

The fourth proportional to 2,005.31, 3,007.60 and 544.28 is: 816.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.31 : 3,007.60 = 544.28 : x
  2. Step 2: Convert to fraction form
    2,005.31/3,007.60 = 544.28/x
  3. Step 3: Cross multiply
    2,005.31x = 3,007.60 × 544.28
  4. Step 4: Simplify right side
    2,005.31x = 1,636,960.13
  5. Step 5: Solve for x
    x = 1,636,960.13/2,005.31
  6. Step 6: Final answer
    x = 816.31

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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.