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Finding the Fourth Proportional to 3,257, 4,493.17 and 1,929.95

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Solution

The fourth proportional to 3,257, 4,493.17 and 1,929.95 is: 2,662.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257 : 4,493.17 = 1,929.95 : x
  2. Step 2: Convert to fraction form
    3,257/4,493.17 = 1,929.95/x
  3. Step 3: Cross multiply
    3,257x = 4,493.17 × 1,929.95
  4. Step 4: Simplify right side
    3,257x = 8,671,593.44
  5. Step 5: Solve for x
    x = 8,671,593.44/3,257
  6. Step 6: Final answer
    x = 2,662.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.