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Finding the Fourth Proportional to 2,637.44, 3,954.24 and 1,612.16

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Solution

The fourth proportional to 2,637.44, 3,954.24 and 1,612.16 is: 2,417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.44 : 3,954.24 = 1,612.16 : x
  2. Step 2: Convert to fraction form
    2,637.44/3,954.24 = 1,612.16/x
  3. Step 3: Cross multiply
    2,637.44x = 3,954.24 × 1,612.16
  4. Step 4: Simplify right side
    2,637.44x = 6,374,867.56
  5. Step 5: Solve for x
    x = 6,374,867.56/2,637.44
  6. Step 6: Final answer
    x = 2,417.07

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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.