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Finding the Fourth Proportional to 2,174.24, 3,261.32 and 875.68

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Solution

The fourth proportional to 2,174.24, 3,261.32 and 875.68 is: 1,313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.24 : 3,261.32 = 875.68 : x
  2. Step 2: Convert to fraction form
    2,174.24/3,261.32 = 875.68/x
  3. Step 3: Cross multiply
    2,174.24x = 3,261.32 × 875.68
  4. Step 4: Simplify right side
    2,174.24x = 2,855,872.70
  5. Step 5: Solve for x
    x = 2,855,872.70/2,174.24
  6. Step 6: Final answer
    x = 1,313.50

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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.