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Finding the Fourth Proportional to 3,073.21, 4,610.53 and 881.88

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Solution

The fourth proportional to 3,073.21, 4,610.53 and 881.88 is: 1,323.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.21 : 4,610.53 = 881.88 : x
  2. Step 2: Convert to fraction form
    3,073.21/4,610.53 = 881.88/x
  3. Step 3: Cross multiply
    3,073.21x = 4,610.53 × 881.88
  4. Step 4: Simplify right side
    3,073.21x = 4,065,911.14
  5. Step 5: Solve for x
    x = 4,065,911.14/3,073.21
  6. Step 6: Final answer
    x = 1,323.02

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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.