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Finding the Fourth Proportional to 2,741.08, 4,110.41 and 866.50

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Solution

The fourth proportional to 2,741.08, 4,110.41 and 866.50 is: 1,299.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.08 : 4,110.41 = 866.50 : x
  2. Step 2: Convert to fraction form
    2,741.08/4,110.41 = 866.50/x
  3. Step 3: Cross multiply
    2,741.08x = 4,110.41 × 866.50
  4. Step 4: Simplify right side
    2,741.08x = 3,561,670.27
  5. Step 5: Solve for x
    x = 3,561,670.27/2,741.08
  6. Step 6: Final answer
    x = 1,299.37

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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.