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Finding the Fourth Proportional to 2,071.25, 3,107.06 and 532.25

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Solution

The fourth proportional to 2,071.25, 3,107.06 and 532.25 is: 798.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.25 : 3,107.06 = 532.25 : x
  2. Step 2: Convert to fraction form
    2,071.25/3,107.06 = 532.25/x
  3. Step 3: Cross multiply
    2,071.25x = 3,107.06 × 532.25
  4. Step 4: Simplify right side
    2,071.25x = 1,653,732.69
  5. Step 5: Solve for x
    x = 1,653,732.69/2,071.25
  6. Step 6: Final answer
    x = 798.42

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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.