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Finding the Fourth Proportional to 2,178.28, 3,267.32 and 534.84

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Solution

The fourth proportional to 2,178.28, 3,267.32 and 534.84 is: 802.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.28 : 3,267.32 = 534.84 : x
  2. Step 2: Convert to fraction form
    2,178.28/3,267.32 = 534.84/x
  3. Step 3: Cross multiply
    2,178.28x = 3,267.32 × 534.84
  4. Step 4: Simplify right side
    2,178.28x = 1,747,493.43
  5. Step 5: Solve for x
    x = 1,747,493.43/2,178.28
  6. Step 6: Final answer
    x = 802.24

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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.