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Finding the Fourth Proportional to 2,871.83, 4,305.01 and 922.67

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Solution

The fourth proportional to 2,871.83, 4,305.01 and 922.67 is: 1,383.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.83 : 4,305.01 = 922.67 : x
  2. Step 2: Convert to fraction form
    2,871.83/4,305.01 = 922.67/x
  3. Step 3: Cross multiply
    2,871.83x = 4,305.01 × 922.67
  4. Step 4: Simplify right side
    2,871.83x = 3,972,077.44
  5. Step 5: Solve for x
    x = 3,972,077.44/2,871.83
  6. Step 6: Final answer
    x = 1,383.12

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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.