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Finding the Fourth Proportional to 2,747.10, 4,119.27 and 897.97

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Solution

The fourth proportional to 2,747.10, 4,119.27 and 897.97 is: 1,346.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.10 : 4,119.27 = 897.97 : x
  2. Step 2: Convert to fraction form
    2,747.10/4,119.27 = 897.97/x
  3. Step 3: Cross multiply
    2,747.10x = 4,119.27 × 897.97
  4. Step 4: Simplify right side
    2,747.10x = 3,698,980.88
  5. Step 5: Solve for x
    x = 3,698,980.88/2,747.10
  6. Step 6: Final answer
    x = 1,346.50

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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.