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Finding the Fourth Proportional to 2,159.24, 3,236.04 and 1,568.24

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Solution

The fourth proportional to 2,159.24, 3,236.04 and 1,568.24 is: 2,350.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.24 : 3,236.04 = 1,568.24 : x
  2. Step 2: Convert to fraction form
    2,159.24/3,236.04 = 1,568.24/x
  3. Step 3: Cross multiply
    2,159.24x = 3,236.04 × 1,568.24
  4. Step 4: Simplify right side
    2,159.24x = 5,074,871.19
  5. Step 5: Solve for x
    x = 5,074,871.19/2,159.24
  6. Step 6: Final answer
    x = 2,350.31

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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.