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Finding the Fourth Proportional to 2,807.77, 4,211.64 and 727.90

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Solution

The fourth proportional to 2,807.77, 4,211.64 and 727.90 is: 1,091.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.77 : 4,211.64 = 727.90 : x
  2. Step 2: Convert to fraction form
    2,807.77/4,211.64 = 727.90/x
  3. Step 3: Cross multiply
    2,807.77x = 4,211.64 × 727.90
  4. Step 4: Simplify right side
    2,807.77x = 3,065,652.76
  5. Step 5: Solve for x
    x = 3,065,652.76/2,807.77
  6. Step 6: Final answer
    x = 1,091.85

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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.