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Finding the Fourth Proportional to 3,178.66, 4,765.17 and 1,202.91

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Solution

The fourth proportional to 3,178.66, 4,765.17 and 1,202.91 is: 1,803.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.66 : 4,765.17 = 1,202.91 : x
  2. Step 2: Convert to fraction form
    3,178.66/4,765.17 = 1,202.91/x
  3. Step 3: Cross multiply
    3,178.66x = 4,765.17 × 1,202.91
  4. Step 4: Simplify right side
    3,178.66x = 5,732,070.64
  5. Step 5: Solve for x
    x = 5,732,070.64/3,178.66
  6. Step 6: Final answer
    x = 1,803.30

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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.