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Finding the Fourth Proportional to 2,418, 3,626.28 and 1,637.52

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Solution

The fourth proportional to 2,418, 3,626.28 and 1,637.52 is: 2,455.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418 : 3,626.28 = 1,637.52 : x
  2. Step 2: Convert to fraction form
    2,418/3,626.28 = 1,637.52/x
  3. Step 3: Cross multiply
    2,418x = 3,626.28 × 1,637.52
  4. Step 4: Simplify right side
    2,418x = 5,938,106.03
  5. Step 5: Solve for x
    x = 5,938,106.03/2,418
  6. Step 6: Final answer
    x = 2,455.79

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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.