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Finding the Fourth Proportional to 1,857.96, 2,563.44 and 1,463.76

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Solution

The fourth proportional to 1,857.96, 2,563.44 and 1,463.76 is: 2,019.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.96 : 2,563.44 = 1,463.76 : x
  2. Step 2: Convert to fraction form
    1,857.96/2,563.44 = 1,463.76/x
  3. Step 3: Cross multiply
    1,857.96x = 2,563.44 × 1,463.76
  4. Step 4: Simplify right side
    1,857.96x = 3,752,260.93
  5. Step 5: Solve for x
    x = 3,752,260.93/1,857.96
  6. Step 6: Final answer
    x = 2,019.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.