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Finding the Fourth Proportional to 2,727.50, 4,091.25 and 880.16

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Solution

The fourth proportional to 2,727.50, 4,091.25 and 880.16 is: 1,320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.50 : 4,091.25 = 880.16 : x
  2. Step 2: Convert to fraction form
    2,727.50/4,091.25 = 880.16/x
  3. Step 3: Cross multiply
    2,727.50x = 4,091.25 × 880.16
  4. Step 4: Simplify right side
    2,727.50x = 3,600,954.60
  5. Step 5: Solve for x
    x = 3,600,954.60/2,727.50
  6. Step 6: Final answer
    x = 1,320.24

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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.