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Finding the Fourth Proportional to 2,637.64, 3,634.68 and 2,466.28

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Solution

The fourth proportional to 2,637.64, 3,634.68 and 2,466.28 is: 3,398.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.64 : 3,634.68 = 2,466.28 : x
  2. Step 2: Convert to fraction form
    2,637.64/3,634.68 = 2,466.28/x
  3. Step 3: Cross multiply
    2,637.64x = 3,634.68 × 2,466.28
  4. Step 4: Simplify right side
    2,637.64x = 8,964,138.59
  5. Step 5: Solve for x
    x = 8,964,138.59/2,637.64
  6. Step 6: Final answer
    x = 3,398.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.