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Finding the Fourth Proportional to 2,329.08, 3,509.17 and 2,106.97

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Solution

The fourth proportional to 2,329.08, 3,509.17 and 2,106.97 is: 3,174.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.08 : 3,509.17 = 2,106.97 : x
  2. Step 2: Convert to fraction form
    2,329.08/3,509.17 = 2,106.97/x
  3. Step 3: Cross multiply
    2,329.08x = 3,509.17 × 2,106.97
  4. Step 4: Simplify right side
    2,329.08x = 7,393,715.91
  5. Step 5: Solve for x
    x = 7,393,715.91/2,329.08
  6. Step 6: Final answer
    x = 3,174.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.