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Finding the Fourth Proportional to 2,803.52, 4,205.89 and 855.67

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Solution

The fourth proportional to 2,803.52, 4,205.89 and 855.67 is: 1,283.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.52 : 4,205.89 = 855.67 : x
  2. Step 2: Convert to fraction form
    2,803.52/4,205.89 = 855.67/x
  3. Step 3: Cross multiply
    2,803.52x = 4,205.89 × 855.67
  4. Step 4: Simplify right side
    2,803.52x = 3,598,853.90
  5. Step 5: Solve for x
    x = 3,598,853.90/2,803.52
  6. Step 6: Final answer
    x = 1,283.69

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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.