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Finding the Fourth Proportional to 2,321.53, 3,202.74 and 1,574.30

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Solution

The fourth proportional to 2,321.53, 3,202.74 and 1,574.30 is: 2,171.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.53 : 3,202.74 = 1,574.30 : x
  2. Step 2: Convert to fraction form
    2,321.53/3,202.74 = 1,574.30/x
  3. Step 3: Cross multiply
    2,321.53x = 3,202.74 × 1,574.30
  4. Step 4: Simplify right side
    2,321.53x = 5,042,081.59
  5. Step 5: Solve for x
    x = 5,042,081.59/2,321.53
  6. Step 6: Final answer
    x = 2,171.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.