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Finding the Fourth Proportional to 2,367.14, 3,266.12 and 1,580.63

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Solution

The fourth proportional to 2,367.14, 3,266.12 and 1,580.63 is: 2,180.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.14 : 3,266.12 = 1,580.63 : x
  2. Step 2: Convert to fraction form
    2,367.14/3,266.12 = 1,580.63/x
  3. Step 3: Cross multiply
    2,367.14x = 3,266.12 × 1,580.63
  4. Step 4: Simplify right side
    2,367.14x = 5,162,514.88
  5. Step 5: Solve for x
    x = 5,162,514.88/2,367.14
  6. Step 6: Final answer
    x = 2,180.91

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