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Finding the Fourth Proportional to 2,679.43, 4,019.16 and 1,583.50

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Solution

The fourth proportional to 2,679.43, 4,019.16 and 1,583.50 is: 2,375.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.43 : 4,019.16 = 1,583.50 : x
  2. Step 2: Convert to fraction form
    2,679.43/4,019.16 = 1,583.50/x
  3. Step 3: Cross multiply
    2,679.43x = 4,019.16 × 1,583.50
  4. Step 4: Simplify right side
    2,679.43x = 6,364,339.86
  5. Step 5: Solve for x
    x = 6,364,339.86/2,679.43
  6. Step 6: Final answer
    x = 2,375.26

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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.