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Finding the Fourth Proportional to 2,336.57, 3,505.41 and 670.71

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Solution

The fourth proportional to 2,336.57, 3,505.41 and 670.71 is: 1,006.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.57 : 3,505.41 = 670.71 : x
  2. Step 2: Convert to fraction form
    2,336.57/3,505.41 = 670.71/x
  3. Step 3: Cross multiply
    2,336.57x = 3,505.41 × 670.71
  4. Step 4: Simplify right side
    2,336.57x = 2,351,119.79
  5. Step 5: Solve for x
    x = 2,351,119.79/2,336.57
  6. Step 6: Final answer
    x = 1,006.23

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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.