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Finding the Fourth Proportional to 2,035.50, 3,053.30 and 881.25

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Solution

The fourth proportional to 2,035.50, 3,053.30 and 881.25 is: 1,321.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.50 : 3,053.30 = 881.25 : x
  2. Step 2: Convert to fraction form
    2,035.50/3,053.30 = 881.25/x
  3. Step 3: Cross multiply
    2,035.50x = 3,053.30 × 881.25
  4. Step 4: Simplify right side
    2,035.50x = 2,690,716.22
  5. Step 5: Solve for x
    x = 2,690,716.22/2,035.50
  6. Step 6: Final answer
    x = 1,321.89

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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.