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Finding the Fourth Proportional to 2,575.25, 3,857.72 and 1,186.68

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Solution

The fourth proportional to 2,575.25, 3,857.72 and 1,186.68 is: 1,777.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.25 : 3,857.72 = 1,186.68 : x
  2. Step 2: Convert to fraction form
    2,575.25/3,857.72 = 1,186.68/x
  3. Step 3: Cross multiply
    2,575.25x = 3,857.72 × 1,186.68
  4. Step 4: Simplify right side
    2,575.25x = 4,577,873.24
  5. Step 5: Solve for x
    x = 4,577,873.24/2,575.25
  6. Step 6: Final answer
    x = 1,777.65

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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.