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Finding the Fourth Proportional to 2,119.61, 3,178.41 and 803.61

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Solution

The fourth proportional to 2,119.61, 3,178.41 and 803.61 is: 1,205.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.61 : 3,178.41 = 803.61 : x
  2. Step 2: Convert to fraction form
    2,119.61/3,178.41 = 803.61/x
  3. Step 3: Cross multiply
    2,119.61x = 3,178.41 × 803.61
  4. Step 4: Simplify right side
    2,119.61x = 2,554,202.06
  5. Step 5: Solve for x
    x = 2,554,202.06/2,119.61
  6. Step 6: Final answer
    x = 1,205.04

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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.