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Finding the Fourth Proportional to 2,679.68, 4,018.71 and 1,583.75

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Solution

The fourth proportional to 2,679.68, 4,018.71 and 1,583.75 is: 2,375.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.68 : 4,018.71 = 1,583.75 : x
  2. Step 2: Convert to fraction form
    2,679.68/4,018.71 = 1,583.75/x
  3. Step 3: Cross multiply
    2,679.68x = 4,018.71 × 1,583.75
  4. Step 4: Simplify right side
    2,679.68x = 6,364,631.96
  5. Step 5: Solve for x
    x = 6,364,631.96/2,679.68
  6. Step 6: Final answer
    x = 2,375.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.