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Finding the Fourth Proportional to 3,101.94, 4,650.66 and 1,021.26

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Solution

The fourth proportional to 3,101.94, 4,650.66 and 1,021.26 is: 1,531.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.94 : 4,650.66 = 1,021.26 : x
  2. Step 2: Convert to fraction form
    3,101.94/4,650.66 = 1,021.26/x
  3. Step 3: Cross multiply
    3,101.94x = 4,650.66 × 1,021.26
  4. Step 4: Simplify right side
    3,101.94x = 4,749,533.03
  5. Step 5: Solve for x
    x = 4,749,533.03/3,101.94
  6. Step 6: Final answer
    x = 1,531.15

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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.