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Finding the Fourth Proportional to 3,034.19, 4,552.06 and 1,647.17

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Solution

The fourth proportional to 3,034.19, 4,552.06 and 1,647.17 is: 2,471.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.19 : 4,552.06 = 1,647.17 : x
  2. Step 2: Convert to fraction form
    3,034.19/4,552.06 = 1,647.17/x
  3. Step 3: Cross multiply
    3,034.19x = 4,552.06 × 1,647.17
  4. Step 4: Simplify right side
    3,034.19x = 7,497,993.91
  5. Step 5: Solve for x
    x = 7,497,993.91/3,034.19
  6. Step 6: Final answer
    x = 2,471.17

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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.