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Finding the Fourth Proportional to 2,732.98, 4,099.59 and 884.14

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Solution

The fourth proportional to 2,732.98, 4,099.59 and 884.14 is: 1,326.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.98 : 4,099.59 = 884.14 : x
  2. Step 2: Convert to fraction form
    2,732.98/4,099.59 = 884.14/x
  3. Step 3: Cross multiply
    2,732.98x = 4,099.59 × 884.14
  4. Step 4: Simplify right side
    2,732.98x = 3,624,611.50
  5. Step 5: Solve for x
    x = 3,624,611.50/2,732.98
  6. Step 6: Final answer
    x = 1,326.25

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1.5x scale

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.