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Finding the Fourth Proportional to 3,176.85, 4,763.84 and 2,065.17

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Solution

The fourth proportional to 3,176.85, 4,763.84 and 2,065.17 is: 3,096.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.85 : 4,763.84 = 2,065.17 : x
  2. Step 2: Convert to fraction form
    3,176.85/4,763.84 = 2,065.17/x
  3. Step 3: Cross multiply
    3,176.85x = 4,763.84 × 2,065.17
  4. Step 4: Simplify right side
    3,176.85x = 9,838,129.13
  5. Step 5: Solve for x
    x = 9,838,129.13/3,176.85
  6. Step 6: Final answer
    x = 3,096.82

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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.