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Finding the Fourth Proportional to 2,061.34, 3,093.02 and 965.77

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Solution

The fourth proportional to 2,061.34, 3,093.02 and 965.77 is: 1,449.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.34 : 3,093.02 = 965.77 : x
  2. Step 2: Convert to fraction form
    2,061.34/3,093.02 = 965.77/x
  3. Step 3: Cross multiply
    2,061.34x = 3,093.02 × 965.77
  4. Step 4: Simplify right side
    2,061.34x = 2,987,145.93
  5. Step 5: Solve for x
    x = 2,987,145.93/2,061.34
  6. Step 6: Final answer
    x = 1,449.13

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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.