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Finding the Fourth Proportional to 6,800.77, 10,201.20 and 1,870.30

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Solution

The fourth proportional to 6,800.77, 10,201.20 and 1,870.30 is: 2,805.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.77 : 10,201.20 = 1,870.30 : x
  2. Step 2: Convert to fraction form
    6,800.77/10,201.20 = 1,870.30/x
  3. Step 3: Cross multiply
    6,800.77x = 10,201.20 × 1,870.30
  4. Step 4: Simplify right side
    6,800.77x = 19,079,304.36
  5. Step 5: Solve for x
    x = 19,079,304.36/6,800.77
  6. Step 6: Final answer
    x = 2,805.46

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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.