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Finding the Fourth Proportional to 3,329.34, 4,993.98 and 1,277.34

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Solution

The fourth proportional to 3,329.34, 4,993.98 and 1,277.34 is: 1,916.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,329.34 : 4,993.98 = 1,277.34 : x
  2. Step 2: Convert to fraction form
    3,329.34/4,993.98 = 1,277.34/x
  3. Step 3: Cross multiply
    3,329.34x = 4,993.98 × 1,277.34
  4. Step 4: Simplify right side
    3,329.34x = 6,379,010.41
  5. Step 5: Solve for x
    x = 6,379,010.41/3,329.34
  6. Step 6: Final answer
    x = 1,916.00

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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.