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Finding the Fourth Proportional to 2,967.83, 4,451.84 and 1,580.91

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Solution

The fourth proportional to 2,967.83, 4,451.84 and 1,580.91 is: 2,371.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.83 : 4,451.84 = 1,580.91 : x
  2. Step 2: Convert to fraction form
    2,967.83/4,451.84 = 1,580.91/x
  3. Step 3: Cross multiply
    2,967.83x = 4,451.84 × 1,580.91
  4. Step 4: Simplify right side
    2,967.83x = 7,037,958.37
  5. Step 5: Solve for x
    x = 7,037,958.37/2,967.83
  6. Step 6: Final answer
    x = 2,371.42

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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.