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Finding the Fourth Proportional to 2,293.52, 3,163.86 and 1,586.03

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Solution

The fourth proportional to 2,293.52, 3,163.86 and 1,586.03 is: 2,187.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.52 : 3,163.86 = 1,586.03 : x
  2. Step 2: Convert to fraction form
    2,293.52/3,163.86 = 1,586.03/x
  3. Step 3: Cross multiply
    2,293.52x = 3,163.86 × 1,586.03
  4. Step 4: Simplify right side
    2,293.52x = 5,017,961.06
  5. Step 5: Solve for x
    x = 5,017,961.06/2,293.52
  6. Step 6: Final answer
    x = 2,187.89

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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.