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Finding the Fourth Proportional to 3,101.62, 4,651.45 and 1,021.16

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Solution

The fourth proportional to 3,101.62, 4,651.45 and 1,021.16 is: 1,531.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.62 : 4,651.45 = 1,021.16 : x
  2. Step 2: Convert to fraction form
    3,101.62/4,651.45 = 1,021.16/x
  3. Step 3: Cross multiply
    3,101.62x = 4,651.45 × 1,021.16
  4. Step 4: Simplify right side
    3,101.62x = 4,749,866.31
  5. Step 5: Solve for x
    x = 4,749,866.31/3,101.62
  6. Step 6: Final answer
    x = 1,531.41

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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.