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Finding the Fourth Proportional to 2,005.31, 3,007.71 and 835.45

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Solution

The fourth proportional to 2,005.31, 3,007.71 and 835.45 is: 1,253.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.31 : 3,007.71 = 835.45 : x
  2. Step 2: Convert to fraction form
    2,005.31/3,007.71 = 835.45/x
  3. Step 3: Cross multiply
    2,005.31x = 3,007.71 × 835.45
  4. Step 4: Simplify right side
    2,005.31x = 2,512,791.32
  5. Step 5: Solve for x
    x = 2,512,791.32/2,005.31
  6. Step 6: Final answer
    x = 1,253.07

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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.