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Finding the Fourth Proportional to 2,857.54, 4,286.56 and 1,125.76

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Solution

The fourth proportional to 2,857.54, 4,286.56 and 1,125.76 is: 1,688.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.54 : 4,286.56 = 1,125.76 : x
  2. Step 2: Convert to fraction form
    2,857.54/4,286.56 = 1,125.76/x
  3. Step 3: Cross multiply
    2,857.54x = 4,286.56 × 1,125.76
  4. Step 4: Simplify right side
    2,857.54x = 4,825,637.79
  5. Step 5: Solve for x
    x = 4,825,637.79/2,857.54
  6. Step 6: Final answer
    x = 1,688.74

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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.