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Finding the Fourth Proportional to 2,935.46, 4,403.21 and 987.82

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Solution

The fourth proportional to 2,935.46, 4,403.21 and 987.82 is: 1,481.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.46 : 4,403.21 = 987.82 : x
  2. Step 2: Convert to fraction form
    2,935.46/4,403.21 = 987.82/x
  3. Step 3: Cross multiply
    2,935.46x = 4,403.21 × 987.82
  4. Step 4: Simplify right side
    2,935.46x = 4,349,562.96
  5. Step 5: Solve for x
    x = 4,349,562.96/2,935.46
  6. Step 6: Final answer
    x = 1,481.73

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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.