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Finding the Fourth Proportional to 1,777.20, 2,671.56 and 1,768.56

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Solution

The fourth proportional to 1,777.20, 2,671.56 and 1,768.56 is: 2,658.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.20 : 2,671.56 = 1,768.56 : x
  2. Step 2: Convert to fraction form
    1,777.20/2,671.56 = 1,768.56/x
  3. Step 3: Cross multiply
    1,777.20x = 2,671.56 × 1,768.56
  4. Step 4: Simplify right side
    1,777.20x = 4,724,814.15
  5. Step 5: Solve for x
    x = 4,724,814.15/1,777.20
  6. Step 6: Final answer
    x = 2,658.57

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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.