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Finding the Fourth Proportional to 4,487.93, 6,731.80 and 1,201.02

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Solution

The fourth proportional to 4,487.93, 6,731.80 and 1,201.02 is: 1,801.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,487.93 : 6,731.80 = 1,201.02 : x
  2. Step 2: Convert to fraction form
    4,487.93/6,731.80 = 1,201.02/x
  3. Step 3: Cross multiply
    4,487.93x = 6,731.80 × 1,201.02
  4. Step 4: Simplify right side
    4,487.93x = 8,085,053.18
  5. Step 5: Solve for x
    x = 8,085,053.18/4,487.93
  6. Step 6: Final answer
    x = 1,801.51

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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.