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Finding the Fourth Proportional to 3,295.16, 4,942.02 and 985.88

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Solution

The fourth proportional to 3,295.16, 4,942.02 and 985.88 is: 1,478.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.16 : 4,942.02 = 985.88 : x
  2. Step 2: Convert to fraction form
    3,295.16/4,942.02 = 985.88/x
  3. Step 3: Cross multiply
    3,295.16x = 4,942.02 × 985.88
  4. Step 4: Simplify right side
    3,295.16x = 4,872,238.68
  5. Step 5: Solve for x
    x = 4,872,238.68/3,295.16
  6. Step 6: Final answer
    x = 1,478.60

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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.