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Finding the Fourth Proportional to 4,542.66, 6,814.80 and 1,770.84

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Solution

The fourth proportional to 4,542.66, 6,814.80 and 1,770.84 is: 2,656.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.66 : 6,814.80 = 1,770.84 : x
  2. Step 2: Convert to fraction form
    4,542.66/6,814.80 = 1,770.84/x
  3. Step 3: Cross multiply
    4,542.66x = 6,814.80 × 1,770.84
  4. Step 4: Simplify right side
    4,542.66x = 12,067,920.43
  5. Step 5: Solve for x
    x = 12,067,920.43/4,542.66
  6. Step 6: Final answer
    x = 2,656.58

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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.