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Finding the Fourth Proportional to 2,418.74, 3,628.63 and 1,264.18

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Solution

The fourth proportional to 2,418.74, 3,628.63 and 1,264.18 is: 1,896.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.74 : 3,628.63 = 1,264.18 : x
  2. Step 2: Convert to fraction form
    2,418.74/3,628.63 = 1,264.18/x
  3. Step 3: Cross multiply
    2,418.74x = 3,628.63 × 1,264.18
  4. Step 4: Simplify right side
    2,418.74x = 4,587,241.47
  5. Step 5: Solve for x
    x = 4,587,241.47/2,418.74
  6. Step 6: Final answer
    x = 1,896.54

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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.