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Finding the Fourth Proportional to 2,073.25, 3,109.91 and 824.16

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Solution

The fourth proportional to 2,073.25, 3,109.91 and 824.16 is: 1,236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.25 : 3,109.91 = 824.16 : x
  2. Step 2: Convert to fraction form
    2,073.25/3,109.91 = 824.16/x
  3. Step 3: Cross multiply
    2,073.25x = 3,109.91 × 824.16
  4. Step 4: Simplify right side
    2,073.25x = 2,563,063.43
  5. Step 5: Solve for x
    x = 2,563,063.43/2,073.25
  6. Step 6: Final answer
    x = 1,236.25

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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.