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Finding the Fourth Proportional to 2,698.65, 3,723.38 and 1,690.47

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Solution

The fourth proportional to 2,698.65, 3,723.38 and 1,690.47 is: 2,332.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.65 : 3,723.38 = 1,690.47 : x
  2. Step 2: Convert to fraction form
    2,698.65/3,723.38 = 1,690.47/x
  3. Step 3: Cross multiply
    2,698.65x = 3,723.38 × 1,690.47
  4. Step 4: Simplify right side
    2,698.65x = 6,294,260.08
  5. Step 5: Solve for x
    x = 6,294,260.08/2,698.65
  6. Step 6: Final answer
    x = 2,332.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.