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Finding the Fourth Proportional to 1,614.13, 2,420.44 and 639.57

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Solution

The fourth proportional to 1,614.13, 2,420.44 and 639.57 is: 959.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.13 : 2,420.44 = 639.57 : x
  2. Step 2: Convert to fraction form
    1,614.13/2,420.44 = 639.57/x
  3. Step 3: Cross multiply
    1,614.13x = 2,420.44 × 639.57
  4. Step 4: Simplify right side
    1,614.13x = 1,548,040.81
  5. Step 5: Solve for x
    x = 1,548,040.81/1,614.13
  6. Step 6: Final answer
    x = 959.06

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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.