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Finding the Fourth Proportional to 3,257.51, 4,493.85 and 1,930.46

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Solution

The fourth proportional to 3,257.51, 4,493.85 and 1,930.46 is: 2,663.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.51 : 4,493.85 = 1,930.46 : x
  2. Step 2: Convert to fraction form
    3,257.51/4,493.85 = 1,930.46/x
  3. Step 3: Cross multiply
    3,257.51x = 4,493.85 × 1,930.46
  4. Step 4: Simplify right side
    3,257.51x = 8,675,175.20
  5. Step 5: Solve for x
    x = 8,675,175.20/3,257.51
  6. Step 6: Final answer
    x = 2,663.13

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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.