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Finding the Fourth Proportional to 2,310.41, 3,465.09 and 666.59

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Solution

The fourth proportional to 2,310.41, 3,465.09 and 666.59 is: 999.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.41 : 3,465.09 = 666.59 : x
  2. Step 2: Convert to fraction form
    2,310.41/3,465.09 = 666.59/x
  3. Step 3: Cross multiply
    2,310.41x = 3,465.09 × 666.59
  4. Step 4: Simplify right side
    2,310.41x = 2,309,794.34
  5. Step 5: Solve for x
    x = 2,309,794.34/2,310.41
  6. Step 6: Final answer
    x = 999.73

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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.