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Finding the Fourth Proportional to 2,809.44, 4,211.19 and 1,053.30

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Solution

The fourth proportional to 2,809.44, 4,211.19 and 1,053.30 is: 1,578.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.44 : 4,211.19 = 1,053.30 : x
  2. Step 2: Convert to fraction form
    2,809.44/4,211.19 = 1,053.30/x
  3. Step 3: Cross multiply
    2,809.44x = 4,211.19 × 1,053.30
  4. Step 4: Simplify right side
    2,809.44x = 4,435,646.43
  5. Step 5: Solve for x
    x = 4,435,646.43/2,809.44
  6. Step 6: Final answer
    x = 1,578.84

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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.