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Finding the Fourth Proportional to 1,971.92, 2,958.57 and 876.18

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Solution

The fourth proportional to 1,971.92, 2,958.57 and 876.18 is: 1,314.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.92 : 2,958.57 = 876.18 : x
  2. Step 2: Convert to fraction form
    1,971.92/2,958.57 = 876.18/x
  3. Step 3: Cross multiply
    1,971.92x = 2,958.57 × 876.18
  4. Step 4: Simplify right side
    1,971.92x = 2,592,239.86
  5. Step 5: Solve for x
    x = 2,592,239.86/1,971.92
  6. Step 6: Final answer
    x = 1,314.58

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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.