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Finding the Fourth Proportional to 2,652.63, 3,978.81 and 803.70

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Solution

The fourth proportional to 2,652.63, 3,978.81 and 803.70 is: 1,205.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.63 : 3,978.81 = 803.70 : x
  2. Step 2: Convert to fraction form
    2,652.63/3,978.81 = 803.70/x
  3. Step 3: Cross multiply
    2,652.63x = 3,978.81 × 803.70
  4. Step 4: Simplify right side
    2,652.63x = 3,197,769.60
  5. Step 5: Solve for x
    x = 3,197,769.60/2,652.63
  6. Step 6: Final answer
    x = 1,205.51

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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.