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Finding the Fourth Proportional to 2,254.97, 3,379.26 and 1,019.32

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Solution

The fourth proportional to 2,254.97, 3,379.26 and 1,019.32 is: 1,527.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.97 : 3,379.26 = 1,019.32 : x
  2. Step 2: Convert to fraction form
    2,254.97/3,379.26 = 1,019.32/x
  3. Step 3: Cross multiply
    2,254.97x = 3,379.26 × 1,019.32
  4. Step 4: Simplify right side
    2,254.97x = 3,444,547.30
  5. Step 5: Solve for x
    x = 3,444,547.30/2,254.97
  6. Step 6: Final answer
    x = 1,527.54

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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.