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Finding the Fourth Proportional to 2,562.01, 3,537.89 and 1,619.47

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Solution

The fourth proportional to 2,562.01, 3,537.89 and 1,619.47 is: 2,236.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.01 : 3,537.89 = 1,619.47 : x
  2. Step 2: Convert to fraction form
    2,562.01/3,537.89 = 1,619.47/x
  3. Step 3: Cross multiply
    2,562.01x = 3,537.89 × 1,619.47
  4. Step 4: Simplify right side
    2,562.01x = 5,729,506.72
  5. Step 5: Solve for x
    x = 5,729,506.72/2,562.01
  6. Step 6: Final answer
    x = 2,236.33

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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.