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Finding the Fourth Proportional to 3,203.29, 4,805.61 and 1,012.17

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Solution

The fourth proportional to 3,203.29, 4,805.61 and 1,012.17 is: 1,518.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.29 : 4,805.61 = 1,012.17 : x
  2. Step 2: Convert to fraction form
    3,203.29/4,805.61 = 1,012.17/x
  3. Step 3: Cross multiply
    3,203.29x = 4,805.61 × 1,012.17
  4. Step 4: Simplify right side
    3,203.29x = 4,864,094.27
  5. Step 5: Solve for x
    x = 4,864,094.27/3,203.29
  6. Step 6: Final answer
    x = 1,518.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.