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Finding the Fourth Proportional to 2,698.32, 3,724.04 and 2,001.68

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Solution

The fourth proportional to 2,698.32, 3,724.04 and 2,001.68 is: 2,762.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.32 : 3,724.04 = 2,001.68 : x
  2. Step 2: Convert to fraction form
    2,698.32/3,724.04 = 2,001.68/x
  3. Step 3: Cross multiply
    2,698.32x = 3,724.04 × 2,001.68
  4. Step 4: Simplify right side
    2,698.32x = 7,454,336.39
  5. Step 5: Solve for x
    x = 7,454,336.39/2,698.32
  6. Step 6: Final answer
    x = 2,762.58

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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.