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Finding the Fourth Proportional to 2,563.87, 3,538.02 and 1,570.81

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Solution

The fourth proportional to 2,563.87, 3,538.02 and 1,570.81 is: 2,167.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.87 : 3,538.02 = 1,570.81 : x
  2. Step 2: Convert to fraction form
    2,563.87/3,538.02 = 1,570.81/x
  3. Step 3: Cross multiply
    2,563.87x = 3,538.02 × 1,570.81
  4. Step 4: Simplify right side
    2,563.87x = 5,557,557.20
  5. Step 5: Solve for x
    x = 5,557,557.20/2,563.87
  6. Step 6: Final answer
    x = 2,167.64

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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.