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Finding the Fourth Proportional to 1,747.86, 2,410.26 and 1,596.12

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Solution

The fourth proportional to 1,747.86, 2,410.26 and 1,596.12 is: 2,201.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.86 : 2,410.26 = 1,596.12 : x
  2. Step 2: Convert to fraction form
    1,747.86/2,410.26 = 1,596.12/x
  3. Step 3: Cross multiply
    1,747.86x = 2,410.26 × 1,596.12
  4. Step 4: Simplify right side
    1,747.86x = 3,847,064.19
  5. Step 5: Solve for x
    x = 3,847,064.19/1,747.86
  6. Step 6: Final answer
    x = 2,201.01

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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.