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Finding the Fourth Proportional to 3,190.27, 4,784.20 and 1,524.10

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Solution

The fourth proportional to 3,190.27, 4,784.20 and 1,524.10 is: 2,285.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.27 : 4,784.20 = 1,524.10 : x
  2. Step 2: Convert to fraction form
    3,190.27/4,784.20 = 1,524.10/x
  3. Step 3: Cross multiply
    3,190.27x = 4,784.20 × 1,524.10
  4. Step 4: Simplify right side
    3,190.27x = 7,291,599.22
  5. Step 5: Solve for x
    x = 7,291,599.22/3,190.27
  6. Step 6: Final answer
    x = 2,285.57

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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.