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Finding the Fourth Proportional to 2,022.37, 3,033.86 and 723.53

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Solution

The fourth proportional to 2,022.37, 3,033.86 and 723.53 is: 1,085.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.37 : 3,033.86 = 723.53 : x
  2. Step 2: Convert to fraction form
    2,022.37/3,033.86 = 723.53/x
  3. Step 3: Cross multiply
    2,022.37x = 3,033.86 × 723.53
  4. Step 4: Simplify right side
    2,022.37x = 2,195,088.73
  5. Step 5: Solve for x
    x = 2,195,088.73/2,022.37
  6. Step 6: Final answer
    x = 1,085.40

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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.