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Finding the Fourth Proportional to 2,759.14, 3,807.21 and 1,580.02

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Solution

The fourth proportional to 2,759.14, 3,807.21 and 1,580.02 is: 2,180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.14 : 3,807.21 = 1,580.02 : x
  2. Step 2: Convert to fraction form
    2,759.14/3,807.21 = 1,580.02/x
  3. Step 3: Cross multiply
    2,759.14x = 3,807.21 × 1,580.02
  4. Step 4: Simplify right side
    2,759.14x = 6,015,467.94
  5. Step 5: Solve for x
    x = 6,015,467.94/2,759.14
  6. Step 6: Final answer
    x = 2,180.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.