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Finding the Fourth Proportional to 3,177.85, 4,768.64 and 1,328.82

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Solution

The fourth proportional to 3,177.85, 4,768.64 and 1,328.82 is: 1,994.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.85 : 4,768.64 = 1,328.82 : x
  2. Step 2: Convert to fraction form
    3,177.85/4,768.64 = 1,328.82/x
  3. Step 3: Cross multiply
    3,177.85x = 4,768.64 × 1,328.82
  4. Step 4: Simplify right side
    3,177.85x = 6,336,657.56
  5. Step 5: Solve for x
    x = 6,336,657.56/3,177.85
  6. Step 6: Final answer
    x = 1,994.01

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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.