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Finding the Fourth Proportional to 2,158.57, 3,239.43 and 1,463.59

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Solution

The fourth proportional to 2,158.57, 3,239.43 and 1,463.59 is: 2,196.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.57 : 3,239.43 = 1,463.59 : x
  2. Step 2: Convert to fraction form
    2,158.57/3,239.43 = 1,463.59/x
  3. Step 3: Cross multiply
    2,158.57x = 3,239.43 × 1,463.59
  4. Step 4: Simplify right side
    2,158.57x = 4,741,197.35
  5. Step 5: Solve for x
    x = 4,741,197.35/2,158.57
  6. Step 6: Final answer
    x = 2,196.45

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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.