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Finding the Fourth Proportional to 2,637.68, 3,954.17 and 994.29

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Solution

The fourth proportional to 2,637.68, 3,954.17 and 994.29 is: 1,490.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.68 : 3,954.17 = 994.29 : x
  2. Step 2: Convert to fraction form
    2,637.68/3,954.17 = 994.29/x
  3. Step 3: Cross multiply
    2,637.68x = 3,954.17 × 994.29
  4. Step 4: Simplify right side
    2,637.68x = 3,931,586.72
  5. Step 5: Solve for x
    x = 3,931,586.72/2,637.68
  6. Step 6: Final answer
    x = 1,490.55

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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.