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Finding the Fourth Proportional to 2,713.65, 3,745.09 and 1,594.94

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Solution

The fourth proportional to 2,713.65, 3,745.09 and 1,594.94 is: 2,201.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.65 : 3,745.09 = 1,594.94 : x
  2. Step 2: Convert to fraction form
    2,713.65/3,745.09 = 1,594.94/x
  3. Step 3: Cross multiply
    2,713.65x = 3,745.09 × 1,594.94
  4. Step 4: Simplify right side
    2,713.65x = 5,973,189.21
  5. Step 5: Solve for x
    x = 5,973,189.21/2,713.65
  6. Step 6: Final answer
    x = 2,201.16

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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.