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Finding the Fourth Proportional to 4,934.66, 7,398.95 and 1,646.87

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Solution

The fourth proportional to 4,934.66, 7,398.95 and 1,646.87 is: 2,469.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.66 : 7,398.95 = 1,646.87 : x
  2. Step 2: Convert to fraction form
    4,934.66/7,398.95 = 1,646.87/x
  3. Step 3: Cross multiply
    4,934.66x = 7,398.95 × 1,646.87
  4. Step 4: Simplify right side
    4,934.66x = 12,185,063.56
  5. Step 5: Solve for x
    x = 12,185,063.56/4,934.66
  6. Step 6: Final answer
    x = 2,469.28

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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.