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Finding the Fourth Proportional to 3,321.90, 4,981.74 and 1,677.42

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Solution

The fourth proportional to 3,321.90, 4,981.74 and 1,677.42 is: 2,515.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321.90 : 4,981.74 = 1,677.42 : x
  2. Step 2: Convert to fraction form
    3,321.90/4,981.74 = 1,677.42/x
  3. Step 3: Cross multiply
    3,321.90x = 4,981.74 × 1,677.42
  4. Step 4: Simplify right side
    3,321.90x = 8,356,470.31
  5. Step 5: Solve for x
    x = 8,356,470.31/3,321.90
  6. Step 6: Final answer
    x = 2,515.57

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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.