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Finding the Fourth Proportional to 2,404.65, 3,311.76 and 2,072.96

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Solution

The fourth proportional to 2,404.65, 3,311.76 and 2,072.96 is: 2,854.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.65 : 3,311.76 = 2,072.96 : x
  2. Step 2: Convert to fraction form
    2,404.65/3,311.76 = 2,072.96/x
  3. Step 3: Cross multiply
    2,404.65x = 3,311.76 × 2,072.96
  4. Step 4: Simplify right side
    2,404.65x = 6,865,129.45
  5. Step 5: Solve for x
    x = 6,865,129.45/2,404.65
  6. Step 6: Final answer
    x = 2,854.94

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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.