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Finding the Fourth Proportional to 2,563.65, 3,537.90 and 1,444.64

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Solution

The fourth proportional to 2,563.65, 3,537.90 and 1,444.64 is: 1,993.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.65 : 3,537.90 = 1,444.64 : x
  2. Step 2: Convert to fraction form
    2,563.65/3,537.90 = 1,444.64/x
  3. Step 3: Cross multiply
    2,563.65x = 3,537.90 × 1,444.64
  4. Step 4: Simplify right side
    2,563.65x = 5,110,974.17
  5. Step 5: Solve for x
    x = 5,110,974.17/2,563.65
  6. Step 6: Final answer
    x = 1,993.63

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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.