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Finding the Fourth Proportional to 2,575.78, 3,863.65 and 1,037.86

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Solution

The fourth proportional to 2,575.78, 3,863.65 and 1,037.86 is: 1,556.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.78 : 3,863.65 = 1,037.86 : x
  2. Step 2: Convert to fraction form
    2,575.78/3,863.65 = 1,037.86/x
  3. Step 3: Cross multiply
    2,575.78x = 3,863.65 × 1,037.86
  4. Step 4: Simplify right side
    2,575.78x = 4,009,927.79
  5. Step 5: Solve for x
    x = 4,009,927.79/2,575.78
  6. Step 6: Final answer
    x = 1,556.78

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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.