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Finding the Fourth Proportional to 2,958.76, 4,081.42 and 1,880.04

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Solution

The fourth proportional to 2,958.76, 4,081.42 and 1,880.04 is: 2,593.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958.76 : 4,081.42 = 1,880.04 : x
  2. Step 2: Convert to fraction form
    2,958.76/4,081.42 = 1,880.04/x
  3. Step 3: Cross multiply
    2,958.76x = 4,081.42 × 1,880.04
  4. Step 4: Simplify right side
    2,958.76x = 7,673,232.86
  5. Step 5: Solve for x
    x = 7,673,232.86/2,958.76
  6. Step 6: Final answer
    x = 2,593.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.