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Finding the Fourth Proportional to 2,310.17, 3,465.86 and 666.83

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Solution

The fourth proportional to 2,310.17, 3,465.86 and 666.83 is: 1,000.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.17 : 3,465.86 = 666.83 : x
  2. Step 2: Convert to fraction form
    2,310.17/3,465.86 = 666.83/x
  3. Step 3: Cross multiply
    2,310.17x = 3,465.86 × 666.83
  4. Step 4: Simplify right side
    2,310.17x = 2,311,144.75
  5. Step 5: Solve for x
    x = 2,311,144.75/2,310.17
  6. Step 6: Final answer
    x = 1,000.42

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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.