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Finding the Fourth Proportional to 2,190.52, 3,285.24 and 651.52

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Solution

The fourth proportional to 2,190.52, 3,285.24 and 651.52 is: 977.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.52 : 3,285.24 = 651.52 : x
  2. Step 2: Convert to fraction form
    2,190.52/3,285.24 = 651.52/x
  3. Step 3: Cross multiply
    2,190.52x = 3,285.24 × 651.52
  4. Step 4: Simplify right side
    2,190.52x = 2,140,399.56
  5. Step 5: Solve for x
    x = 2,140,399.56/2,190.52
  6. Step 6: Final answer
    x = 977.12

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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.