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Finding the Fourth Proportional to 3,502.14, 4,832.94 and 1,930.24

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Solution

The fourth proportional to 3,502.14, 4,832.94 and 1,930.24 is: 2,663.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.14 : 4,832.94 = 1,930.24 : x
  2. Step 2: Convert to fraction form
    3,502.14/4,832.94 = 1,930.24/x
  3. Step 3: Cross multiply
    3,502.14x = 4,832.94 × 1,930.24
  4. Step 4: Simplify right side
    3,502.14x = 9,328,734.11
  5. Step 5: Solve for x
    x = 9,328,734.11/3,502.14
  6. Step 6: Final answer
    x = 2,663.72

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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.