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Finding the Fourth Proportional to 2,060.88, 3,089.49 and 762.05

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Solution

The fourth proportional to 2,060.88, 3,089.49 and 762.05 is: 1,142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.88 : 3,089.49 = 762.05 : x
  2. Step 2: Convert to fraction form
    2,060.88/3,089.49 = 762.05/x
  3. Step 3: Cross multiply
    2,060.88x = 3,089.49 × 762.05
  4. Step 4: Simplify right side
    2,060.88x = 2,354,330.41
  5. Step 5: Solve for x
    x = 2,354,330.41/2,060.88
  6. Step 6: Final answer
    x = 1,142.39

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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.