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Finding the Fourth Proportional to 2,061.36, 3,094.20 and 763.20

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Solution

The fourth proportional to 2,061.36, 3,094.20 and 763.20 is: 1,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.36 : 3,094.20 = 763.20 : x
  2. Step 2: Convert to fraction form
    2,061.36/3,094.20 = 763.20/x
  3. Step 3: Cross multiply
    2,061.36x = 3,094.20 × 763.20
  4. Step 4: Simplify right side
    2,061.36x = 2,361,493.44
  5. Step 5: Solve for x
    x = 2,361,493.44/2,061.36
  6. Step 6: Final answer
    x = 1,145.60

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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.