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Finding the Fourth Proportional to 1,410.96, 2,115.69 and 827.10

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Solution

The fourth proportional to 1,410.96, 2,115.69 and 827.10 is: 1,240.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.96 : 2,115.69 = 827.10 : x
  2. Step 2: Convert to fraction form
    1,410.96/2,115.69 = 827.10/x
  3. Step 3: Cross multiply
    1,410.96x = 2,115.69 × 827.10
  4. Step 4: Simplify right side
    1,410.96x = 1,749,887.20
  5. Step 5: Solve for x
    x = 1,749,887.20/1,410.96
  6. Step 6: Final answer
    x = 1,240.21

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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.