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Finding the Fourth Proportional to 2,254.59, 3,379.59 and 1,022.87

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Solution

The fourth proportional to 2,254.59, 3,379.59 and 1,022.87 is: 1,533.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.59 : 3,379.59 = 1,022.87 : x
  2. Step 2: Convert to fraction form
    2,254.59/3,379.59 = 1,022.87/x
  3. Step 3: Cross multiply
    2,254.59x = 3,379.59 × 1,022.87
  4. Step 4: Simplify right side
    2,254.59x = 3,456,889.67
  5. Step 5: Solve for x
    x = 3,456,889.67/2,254.59
  6. Step 6: Final answer
    x = 1,533.27

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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.