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Finding the Fourth Proportional to 2,342.05, 3,512.22 and 880.81

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Solution

The fourth proportional to 2,342.05, 3,512.22 and 880.81 is: 1,320.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.05 : 3,512.22 = 880.81 : x
  2. Step 2: Convert to fraction form
    2,342.05/3,512.22 = 880.81/x
  3. Step 3: Cross multiply
    2,342.05x = 3,512.22 × 880.81
  4. Step 4: Simplify right side
    2,342.05x = 3,093,598.50
  5. Step 5: Solve for x
    x = 3,093,598.50/2,342.05
  6. Step 6: Final answer
    x = 1,320.89

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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.