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Finding the Fourth Proportional to 2,190.53, 3,283.97 and 1,019.93

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Solution

The fourth proportional to 2,190.53, 3,283.97 and 1,019.93 is: 1,529.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.53 : 3,283.97 = 1,019.93 : x
  2. Step 2: Convert to fraction form
    2,190.53/3,283.97 = 1,019.93/x
  3. Step 3: Cross multiply
    2,190.53x = 3,283.97 × 1,019.93
  4. Step 4: Simplify right side
    2,190.53x = 3,349,398.00
  5. Step 5: Solve for x
    x = 3,349,398.00/2,190.53
  6. Step 6: Final answer
    x = 1,529.04

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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.