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Finding the Fourth Proportional to 4,544.08, 6,814.67 and 1,770.08

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Solution

The fourth proportional to 4,544.08, 6,814.67 and 1,770.08 is: 2,654.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,544.08 : 6,814.67 = 1,770.08 : x
  2. Step 2: Convert to fraction form
    4,544.08/6,814.67 = 1,770.08/x
  3. Step 3: Cross multiply
    4,544.08x = 6,814.67 × 1,770.08
  4. Step 4: Simplify right side
    4,544.08x = 12,062,468.15
  5. Step 5: Solve for x
    x = 12,062,468.15/4,544.08
  6. Step 6: Final answer
    x = 2,654.55

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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.