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Finding the Fourth Proportional to 3,201.91, 4,803.14 and 1,010.77

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Solution

The fourth proportional to 3,201.91, 4,803.14 and 1,010.77 is: 1,516.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.91 : 4,803.14 = 1,010.77 : x
  2. Step 2: Convert to fraction form
    3,201.91/4,803.14 = 1,010.77/x
  3. Step 3: Cross multiply
    3,201.91x = 4,803.14 × 1,010.77
  4. Step 4: Simplify right side
    3,201.91x = 4,854,864.76
  5. Step 5: Solve for x
    x = 4,854,864.76/3,201.91
  6. Step 6: Final answer
    x = 1,516.24

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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.