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Finding the Fourth Proportional to 1,715.31, 2,351.85 and 1,698.91

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Solution

The fourth proportional to 1,715.31, 2,351.85 and 1,698.91 is: 2,329.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.31 : 2,351.85 = 1,698.91 : x
  2. Step 2: Convert to fraction form
    1,715.31/2,351.85 = 1,698.91/x
  3. Step 3: Cross multiply
    1,715.31x = 2,351.85 × 1,698.91
  4. Step 4: Simplify right side
    1,715.31x = 3,995,578.79
  5. Step 5: Solve for x
    x = 3,995,578.79/1,715.31
  6. Step 6: Final answer
    x = 2,329.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.