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Finding the Fourth Proportional to 3,073.30, 4,608.54 and 881.50

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Solution

The fourth proportional to 3,073.30, 4,608.54 and 881.50 is: 1,321.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.30 : 4,608.54 = 881.50 : x
  2. Step 2: Convert to fraction form
    3,073.30/4,608.54 = 881.50/x
  3. Step 3: Cross multiply
    3,073.30x = 4,608.54 × 881.50
  4. Step 4: Simplify right side
    3,073.30x = 4,062,428.01
  5. Step 5: Solve for x
    x = 4,062,428.01/3,073.30
  6. Step 6: Final answer
    x = 1,321.85

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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.