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Finding the Fourth Proportional to 1,857.81, 2,563.66 and 1,362.54

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Solution

The fourth proportional to 1,857.81, 2,563.66 and 1,362.54 is: 1,880.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.81 : 2,563.66 = 1,362.54 : x
  2. Step 2: Convert to fraction form
    1,857.81/2,563.66 = 1,362.54/x
  3. Step 3: Cross multiply
    1,857.81x = 2,563.66 × 1,362.54
  4. Step 4: Simplify right side
    1,857.81x = 3,493,089.30
  5. Step 5: Solve for x
    x = 3,493,089.30/1,857.81
  6. Step 6: Final answer
    x = 1,880.22

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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.