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Finding the Fourth Proportional to 2,120.42, 3,177.54 and 1,859.78

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Solution

The fourth proportional to 2,120.42, 3,177.54 and 1,859.78 is: 2,786.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.42 : 3,177.54 = 1,859.78 : x
  2. Step 2: Convert to fraction form
    2,120.42/3,177.54 = 1,859.78/x
  3. Step 3: Cross multiply
    2,120.42x = 3,177.54 × 1,859.78
  4. Step 4: Simplify right side
    2,120.42x = 5,909,509.45
  5. Step 5: Solve for x
    x = 5,909,509.45/2,120.42
  6. Step 6: Final answer
    x = 2,786.96

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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.