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Finding the Fourth Proportional to 3,461.92, 4,777.84 and 2,064.80

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Solution

The fourth proportional to 3,461.92, 4,777.84 and 2,064.80 is: 2,849.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.92 : 4,777.84 = 2,064.80 : x
  2. Step 2: Convert to fraction form
    3,461.92/4,777.84 = 2,064.80/x
  3. Step 3: Cross multiply
    3,461.92x = 4,777.84 × 2,064.80
  4. Step 4: Simplify right side
    3,461.92x = 9,865,284.03
  5. Step 5: Solve for x
    x = 9,865,284.03/3,461.92
  6. Step 6: Final answer
    x = 2,849.66

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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.