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Finding the Fourth Proportional to 2,061.25, 3,091.88 and 522.25

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Solution

The fourth proportional to 2,061.25, 3,091.88 and 522.25 is: 783.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.25 : 3,091.88 = 522.25 : x
  2. Step 2: Convert to fraction form
    2,061.25/3,091.88 = 522.25/x
  3. Step 3: Cross multiply
    2,061.25x = 3,091.88 × 522.25
  4. Step 4: Simplify right side
    2,061.25x = 1,614,734.33
  5. Step 5: Solve for x
    x = 1,614,734.33/2,061.25
  6. Step 6: Final answer
    x = 783.38

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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.