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Finding the Fourth Proportional to 3,087.92, 4,631.88 and 779.44

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Solution

The fourth proportional to 3,087.92, 4,631.88 and 779.44 is: 1,169.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,087.92 : 4,631.88 = 779.44 : x
  2. Step 2: Convert to fraction form
    3,087.92/4,631.88 = 779.44/x
  3. Step 3: Cross multiply
    3,087.92x = 4,631.88 × 779.44
  4. Step 4: Simplify right side
    3,087.92x = 3,610,272.55
  5. Step 5: Solve for x
    x = 3,610,272.55/3,087.92
  6. Step 6: Final answer
    x = 1,169.16

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Similar ratio
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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.