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Finding the Fourth Proportional to 3,176.65, 4,379.70 and 2,055.61

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Solution

The fourth proportional to 3,176.65, 4,379.70 and 2,055.61 is: 2,834.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.65 : 4,379.70 = 2,055.61 : x
  2. Step 2: Convert to fraction form
    3,176.65/4,379.70 = 2,055.61/x
  3. Step 3: Cross multiply
    3,176.65x = 4,379.70 × 2,055.61
  4. Step 4: Simplify right side
    3,176.65x = 9,002,955.12
  5. Step 5: Solve for x
    x = 9,002,955.12/3,176.65
  6. Step 6: Final answer
    x = 2,834.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.