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Finding the Fourth Proportional to 3,177.65, 4,763.63 and 1,616.78

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Solution

The fourth proportional to 3,177.65, 4,763.63 and 1,616.78 is: 2,423.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.65 : 4,763.63 = 1,616.78 : x
  2. Step 2: Convert to fraction form
    3,177.65/4,763.63 = 1,616.78/x
  3. Step 3: Cross multiply
    3,177.65x = 4,763.63 × 1,616.78
  4. Step 4: Simplify right side
    3,177.65x = 7,701,721.94
  5. Step 5: Solve for x
    x = 7,701,721.94/3,177.65
  6. Step 6: Final answer
    x = 2,423.72

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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.