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Finding the Fourth Proportional to 1,650.47, 2,276.62 and 1,021.19

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Solution

The fourth proportional to 1,650.47, 2,276.62 and 1,021.19 is: 1,408.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.47 : 2,276.62 = 1,021.19 : x
  2. Step 2: Convert to fraction form
    1,650.47/2,276.62 = 1,021.19/x
  3. Step 3: Cross multiply
    1,650.47x = 2,276.62 × 1,021.19
  4. Step 4: Simplify right side
    1,650.47x = 2,324,847.64
  5. Step 5: Solve for x
    x = 2,324,847.64/1,650.47
  6. Step 6: Final answer
    x = 1,408.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.