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Finding the Fourth Proportional to 3,269.06, 4,903.52 and 803.88

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Solution

The fourth proportional to 3,269.06, 4,903.52 and 803.88 is: 1,205.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.06 : 4,903.52 = 803.88 : x
  2. Step 2: Convert to fraction form
    3,269.06/4,903.52 = 803.88/x
  3. Step 3: Cross multiply
    3,269.06x = 4,903.52 × 803.88
  4. Step 4: Simplify right side
    3,269.06x = 3,941,837.64
  5. Step 5: Solve for x
    x = 3,941,837.64/3,269.06
  6. Step 6: Final answer
    x = 1,205.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.