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Finding the Fourth Proportional to 3,074.69, 4,243.14 and 1,677.44

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Solution

The fourth proportional to 3,074.69, 4,243.14 and 1,677.44 is: 2,314.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.69 : 4,243.14 = 1,677.44 : x
  2. Step 2: Convert to fraction form
    3,074.69/4,243.14 = 1,677.44/x
  3. Step 3: Cross multiply
    3,074.69x = 4,243.14 × 1,677.44
  4. Step 4: Simplify right side
    3,074.69x = 7,117,612.76
  5. Step 5: Solve for x
    x = 7,117,612.76/3,074.69
  6. Step 6: Final answer
    x = 2,314.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.