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Finding the Fourth Proportional to 4,153.65, 6,230.40 and 1,963.95

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Solution

The fourth proportional to 4,153.65, 6,230.40 and 1,963.95 is: 2,945.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.65 : 6,230.40 = 1,963.95 : x
  2. Step 2: Convert to fraction form
    4,153.65/6,230.40 = 1,963.95/x
  3. Step 3: Cross multiply
    4,153.65x = 6,230.40 × 1,963.95
  4. Step 4: Simplify right side
    4,153.65x = 12,236,194.08
  5. Step 5: Solve for x
    x = 12,236,194.08/4,153.65
  6. Step 6: Final answer
    x = 2,945.89

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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.