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Finding the Fourth Proportional to 2,310.56, 3,465.76 and 667.04

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Solution

The fourth proportional to 2,310.56, 3,465.76 and 667.04 is: 1,000.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.56 : 3,465.76 = 667.04 : x
  2. Step 2: Convert to fraction form
    2,310.56/3,465.76 = 667.04/x
  3. Step 3: Cross multiply
    2,310.56x = 3,465.76 × 667.04
  4. Step 4: Simplify right side
    2,310.56x = 2,311,800.55
  5. Step 5: Solve for x
    x = 2,311,800.55/2,310.56
  6. Step 6: Final answer
    x = 1,000.54

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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.