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Finding the Fourth Proportional to 2,178.82, 3,267.14 and 929.21

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Solution

The fourth proportional to 2,178.82, 3,267.14 and 929.21 is: 1,393.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.82 : 3,267.14 = 929.21 : x
  2. Step 2: Convert to fraction form
    2,178.82/3,267.14 = 929.21/x
  3. Step 3: Cross multiply
    2,178.82x = 3,267.14 × 929.21
  4. Step 4: Simplify right side
    2,178.82x = 3,035,872.60
  5. Step 5: Solve for x
    x = 3,035,872.60/2,178.82
  6. Step 6: Final answer
    x = 1,393.36

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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.