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Finding the Fourth Proportional to 3,314.08, 4,969.49 and 1,927.90

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Solution

The fourth proportional to 3,314.08, 4,969.49 and 1,927.90 is: 2,890.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.08 : 4,969.49 = 1,927.90 : x
  2. Step 2: Convert to fraction form
    3,314.08/4,969.49 = 1,927.90/x
  3. Step 3: Cross multiply
    3,314.08x = 4,969.49 × 1,927.90
  4. Step 4: Simplify right side
    3,314.08x = 9,580,659.74
  5. Step 5: Solve for x
    x = 9,580,659.74/3,314.08
  6. Step 6: Final answer
    x = 2,890.90

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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.