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Finding the Fourth Proportional to 2,517.13, 3,776.55 and 785.80

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Solution

The fourth proportional to 2,517.13, 3,776.55 and 785.80 is: 1,178.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.13 : 3,776.55 = 785.80 : x
  2. Step 2: Convert to fraction form
    2,517.13/3,776.55 = 785.80/x
  3. Step 3: Cross multiply
    2,517.13x = 3,776.55 × 785.80
  4. Step 4: Simplify right side
    2,517.13x = 2,967,612.99
  5. Step 5: Solve for x
    x = 2,967,612.99/2,517.13
  6. Step 6: Final answer
    x = 1,178.97

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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.