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Finding the Fourth Proportional to 2,563.70, 3,538.21 and 1,569.11

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Solution

The fourth proportional to 2,563.70, 3,538.21 and 1,569.11 is: 2,165.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.70 : 3,538.21 = 1,569.11 : x
  2. Step 2: Convert to fraction form
    2,563.70/3,538.21 = 1,569.11/x
  3. Step 3: Cross multiply
    2,563.70x = 3,538.21 × 1,569.11
  4. Step 4: Simplify right side
    2,563.70x = 5,551,840.69
  5. Step 5: Solve for x
    x = 5,551,840.69/2,563.70
  6. Step 6: Final answer
    x = 2,165.56

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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.