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Finding the Fourth Proportional to 3,502.09, 4,832.88 and 1,930.18

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Solution

The fourth proportional to 3,502.09, 4,832.88 and 1,930.18 is: 2,663.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.09 : 4,832.88 = 1,930.18 : x
  2. Step 2: Convert to fraction form
    3,502.09/4,832.88 = 1,930.18/x
  3. Step 3: Cross multiply
    3,502.09x = 4,832.88 × 1,930.18
  4. Step 4: Simplify right side
    3,502.09x = 9,328,320.77
  5. Step 5: Solve for x
    x = 9,328,320.77/3,502.09
  6. Step 6: Final answer
    x = 2,663.65

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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.