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Finding the Fourth Proportional to 2,190.76, 3,285.63 and 1,020.03

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Solution

The fourth proportional to 2,190.76, 3,285.63 and 1,020.03 is: 1,529.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.76 : 3,285.63 = 1,020.03 : x
  2. Step 2: Convert to fraction form
    2,190.76/3,285.63 = 1,020.03/x
  3. Step 3: Cross multiply
    2,190.76x = 3,285.63 × 1,020.03
  4. Step 4: Simplify right side
    2,190.76x = 3,351,438.41
  5. Step 5: Solve for x
    x = 3,351,438.41/2,190.76
  6. Step 6: Final answer
    x = 1,529.81

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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.