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Finding the Fourth Proportional to 2,575.63, 3,863.45 and 1,278.01

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Solution

The fourth proportional to 2,575.63, 3,863.45 and 1,278.01 is: 1,917.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.63 : 3,863.45 = 1,278.01 : x
  2. Step 2: Convert to fraction form
    2,575.63/3,863.45 = 1,278.01/x
  3. Step 3: Cross multiply
    2,575.63x = 3,863.45 × 1,278.01
  4. Step 4: Simplify right side
    2,575.63x = 4,937,527.73
  5. Step 5: Solve for x
    x = 4,937,527.73/2,575.63
  6. Step 6: Final answer
    x = 1,917.02

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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.