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Finding the Fourth Proportional to 2,579.32, 3,858 and 1,536.94

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Solution

The fourth proportional to 2,579.32, 3,858 and 1,536.94 is: 2,298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.32 : 3,858 = 1,536.94 : x
  2. Step 2: Convert to fraction form
    2,579.32/3,858 = 1,536.94/x
  3. Step 3: Cross multiply
    2,579.32x = 3,858 × 1,536.94
  4. Step 4: Simplify right side
    2,579.32x = 5,929,514.52
  5. Step 5: Solve for x
    x = 5,929,514.52/2,579.32
  6. Step 6: Final answer
    x = 2,298.87

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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.