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Finding the Fourth Proportional to 2,965.77, 4,092.78 and 1,706.91

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Solution

The fourth proportional to 2,965.77, 4,092.78 and 1,706.91 is: 2,355.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.77 : 4,092.78 = 1,706.91 : x
  2. Step 2: Convert to fraction form
    2,965.77/4,092.78 = 1,706.91/x
  3. Step 3: Cross multiply
    2,965.77x = 4,092.78 × 1,706.91
  4. Step 4: Simplify right side
    2,965.77x = 6,986,007.11
  5. Step 5: Solve for x
    x = 6,986,007.11/2,965.77
  6. Step 6: Final answer
    x = 2,355.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.