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Finding the Fourth Proportional to 3,240.68, 4,859.78 and 1,777.82

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Solution

The fourth proportional to 3,240.68, 4,859.78 and 1,777.82 is: 2,666.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,240.68 : 4,859.78 = 1,777.82 : x
  2. Step 2: Convert to fraction form
    3,240.68/4,859.78 = 1,777.82/x
  3. Step 3: Cross multiply
    3,240.68x = 4,859.78 × 1,777.82
  4. Step 4: Simplify right side
    3,240.68x = 8,639,814.08
  5. Step 5: Solve for x
    x = 8,639,814.08/3,240.68
  6. Step 6: Final answer
    x = 2,666.05

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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.