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Finding the Fourth Proportional to 2,777.06, 4,163.52 and 1,681.16

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Solution

The fourth proportional to 2,777.06, 4,163.52 and 1,681.16 is: 2,520.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.06 : 4,163.52 = 1,681.16 : x
  2. Step 2: Convert to fraction form
    2,777.06/4,163.52 = 1,681.16/x
  3. Step 3: Cross multiply
    2,777.06x = 4,163.52 × 1,681.16
  4. Step 4: Simplify right side
    2,777.06x = 6,999,553.69
  5. Step 5: Solve for x
    x = 6,999,553.69/2,777.06
  6. Step 6: Final answer
    x = 2,520.50

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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.