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Finding the Fourth Proportional to 3,053.34, 4,578.83 and 1,299.17

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Solution

The fourth proportional to 3,053.34, 4,578.83 and 1,299.17 is: 1,948.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.34 : 4,578.83 = 1,299.17 : x
  2. Step 2: Convert to fraction form
    3,053.34/4,578.83 = 1,299.17/x
  3. Step 3: Cross multiply
    3,053.34x = 4,578.83 × 1,299.17
  4. Step 4: Simplify right side
    3,053.34x = 5,948,674.56
  5. Step 5: Solve for x
    x = 5,948,674.56/3,053.34
  6. Step 6: Final answer
    x = 1,948.25

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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.