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Finding the Fourth Proportional to 3,101.88, 4,653.22 and 1,021.18

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Solution

The fourth proportional to 3,101.88, 4,653.22 and 1,021.18 is: 1,531.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.88 : 4,653.22 = 1,021.18 : x
  2. Step 2: Convert to fraction form
    3,101.88/4,653.22 = 1,021.18/x
  3. Step 3: Cross multiply
    3,101.88x = 4,653.22 × 1,021.18
  4. Step 4: Simplify right side
    3,101.88x = 4,751,775.20
  5. Step 5: Solve for x
    x = 4,751,775.20/3,101.88
  6. Step 6: Final answer
    x = 1,531.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.