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Finding the Fourth Proportional to 3,179.77, 4,387.84 and 1,782.25

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Solution

The fourth proportional to 3,179.77, 4,387.84 and 1,782.25 is: 2,459.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.77 : 4,387.84 = 1,782.25 : x
  2. Step 2: Convert to fraction form
    3,179.77/4,387.84 = 1,782.25/x
  3. Step 3: Cross multiply
    3,179.77x = 4,387.84 × 1,782.25
  4. Step 4: Simplify right side
    3,179.77x = 7,820,227.84
  5. Step 5: Solve for x
    x = 7,820,227.84/3,179.77
  6. Step 6: Final answer
    x = 2,459.37

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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.