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Finding the Fourth Proportional to 2,144.77, 3,218.37 and 1,157.58

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Solution

The fourth proportional to 2,144.77, 3,218.37 and 1,157.58 is: 1,737.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.77 : 3,218.37 = 1,157.58 : x
  2. Step 2: Convert to fraction form
    2,144.77/3,218.37 = 1,157.58/x
  3. Step 3: Cross multiply
    2,144.77x = 3,218.37 × 1,157.58
  4. Step 4: Simplify right side
    2,144.77x = 3,725,520.74
  5. Step 5: Solve for x
    x = 3,725,520.74/2,144.77
  6. Step 6: Final answer
    x = 1,737.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.