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Finding the Fourth Proportional to 2,184.17, 3,278.27 and 885.74

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Solution

The fourth proportional to 2,184.17, 3,278.27 and 885.74 is: 1,329.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.17 : 3,278.27 = 885.74 : x
  2. Step 2: Convert to fraction form
    2,184.17/3,278.27 = 885.74/x
  3. Step 3: Cross multiply
    2,184.17x = 3,278.27 × 885.74
  4. Step 4: Simplify right side
    2,184.17x = 2,903,680.69
  5. Step 5: Solve for x
    x = 2,903,680.69/2,184.17
  6. Step 6: Final answer
    x = 1,329.42

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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.