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Finding the Fourth Proportional to 2,876.65, 4,314.97 and 902.21

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Solution

The fourth proportional to 2,876.65, 4,314.97 and 902.21 is: 1,353.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.65 : 4,314.97 = 902.21 : x
  2. Step 2: Convert to fraction form
    2,876.65/4,314.97 = 902.21/x
  3. Step 3: Cross multiply
    2,876.65x = 4,314.97 × 902.21
  4. Step 4: Simplify right side
    2,876.65x = 3,892,988.64
  5. Step 5: Solve for x
    x = 3,892,988.64/2,876.65
  6. Step 6: Final answer
    x = 1,353.31

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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.