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Finding the Fourth Proportional to 2,174.88, 3,263.88 and 876.33

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Solution

The fourth proportional to 2,174.88, 3,263.88 and 876.33 is: 1,315.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.88 : 3,263.88 = 876.33 : x
  2. Step 2: Convert to fraction form
    2,174.88/3,263.88 = 876.33/x
  3. Step 3: Cross multiply
    2,174.88x = 3,263.88 × 876.33
  4. Step 4: Simplify right side
    2,174.88x = 2,860,235.96
  5. Step 5: Solve for x
    x = 2,860,235.96/2,174.88
  6. Step 6: Final answer
    x = 1,315.12

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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.