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Finding the Fourth Proportional to 2,805.34, 4,205.33 and 1,049.87

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Solution

The fourth proportional to 2,805.34, 4,205.33 and 1,049.87 is: 1,573.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.34 : 4,205.33 = 1,049.87 : x
  2. Step 2: Convert to fraction form
    2,805.34/4,205.33 = 1,049.87/x
  3. Step 3: Cross multiply
    2,805.34x = 4,205.33 × 1,049.87
  4. Step 4: Simplify right side
    2,805.34x = 4,415,049.81
  5. Step 5: Solve for x
    x = 4,415,049.81/2,805.34
  6. Step 6: Final answer
    x = 1,573.80

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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.