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Finding the Fourth Proportional to 2,890.50, 4,330.26 and 2,306.67

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Solution

The fourth proportional to 2,890.50, 4,330.26 and 2,306.67 is: 3,455.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.50 : 4,330.26 = 2,306.67 : x
  2. Step 2: Convert to fraction form
    2,890.50/4,330.26 = 2,306.67/x
  3. Step 3: Cross multiply
    2,890.50x = 4,330.26 × 2,306.67
  4. Step 4: Simplify right side
    2,890.50x = 9,988,480.83
  5. Step 5: Solve for x
    x = 9,988,480.83/2,890.50
  6. Step 6: Final answer
    x = 3,455.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.