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Finding the Fourth Proportional to 2,766.84, 4,142.16 and 2,395.46

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Solution

The fourth proportional to 2,766.84, 4,142.16 and 2,395.46 is: 3,586.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.84 : 4,142.16 = 2,395.46 : x
  2. Step 2: Convert to fraction form
    2,766.84/4,142.16 = 2,395.46/x
  3. Step 3: Cross multiply
    2,766.84x = 4,142.16 × 2,395.46
  4. Step 4: Simplify right side
    2,766.84x = 9,922,357.88
  5. Step 5: Solve for x
    x = 9,922,357.88/2,766.84
  6. Step 6: Final answer
    x = 3,586.17

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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.