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Finding the Fourth Proportional to 2,706.48, 4,061.07 and 1,245.42

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Solution

The fourth proportional to 2,706.48, 4,061.07 and 1,245.42 is: 1,868.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.48 : 4,061.07 = 1,245.42 : x
  2. Step 2: Convert to fraction form
    2,706.48/4,061.07 = 1,245.42/x
  3. Step 3: Cross multiply
    2,706.48x = 4,061.07 × 1,245.42
  4. Step 4: Simplify right side
    2,706.48x = 5,057,737.80
  5. Step 5: Solve for x
    x = 5,057,737.80/2,706.48
  6. Step 6: Final answer
    x = 1,868.75

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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.