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Finding the Fourth Proportional to 2,254.74, 3,379.80 and 1,522.58

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Solution

The fourth proportional to 2,254.74, 3,379.80 and 1,522.58 is: 2,282.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.74 : 3,379.80 = 1,522.58 : x
  2. Step 2: Convert to fraction form
    2,254.74/3,379.80 = 1,522.58/x
  3. Step 3: Cross multiply
    2,254.74x = 3,379.80 × 1,522.58
  4. Step 4: Simplify right side
    2,254.74x = 5,146,015.88
  5. Step 5: Solve for x
    x = 5,146,015.88/2,254.74
  6. Step 6: Final answer
    x = 2,282.31

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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.