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Finding the Fourth Proportional to 2,517.68, 3,776.44 and 785.84

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Solution

The fourth proportional to 2,517.68, 3,776.44 and 785.84 is: 1,178.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.68 : 3,776.44 = 785.84 : x
  2. Step 2: Convert to fraction form
    2,517.68/3,776.44 = 785.84/x
  3. Step 3: Cross multiply
    2,517.68x = 3,776.44 × 785.84
  4. Step 4: Simplify right side
    2,517.68x = 2,967,677.61
  5. Step 5: Solve for x
    x = 2,967,677.61/2,517.68
  6. Step 6: Final answer
    x = 1,178.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.