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Finding the Fourth Proportional to 3,102.39, 4,650.84 and 1,153.22

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Solution

The fourth proportional to 3,102.39, 4,650.84 and 1,153.22 is: 1,728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.39 : 4,650.84 = 1,153.22 : x
  2. Step 2: Convert to fraction form
    3,102.39/4,650.84 = 1,153.22/x
  3. Step 3: Cross multiply
    3,102.39x = 4,650.84 × 1,153.22
  4. Step 4: Simplify right side
    3,102.39x = 5,363,418.45
  5. Step 5: Solve for x
    x = 5,363,418.45/3,102.39
  6. Step 6: Final answer
    x = 1,728.80

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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.