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Finding the Fourth Proportional to 3,295.68, 4,944 and 986.88

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Solution

The fourth proportional to 3,295.68, 4,944 and 986.88 is: 1,480.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.68 : 4,944 = 986.88 : x
  2. Step 2: Convert to fraction form
    3,295.68/4,944 = 986.88/x
  3. Step 3: Cross multiply
    3,295.68x = 4,944 × 986.88
  4. Step 4: Simplify right side
    3,295.68x = 4,879,134.72
  5. Step 5: Solve for x
    x = 4,879,134.72/3,295.68
  6. Step 6: Final answer
    x = 1,480.46

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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.