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Finding the Fourth Proportional to 2,698.16, 3,721 and 1,701.71

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Solution

The fourth proportional to 2,698.16, 3,721 and 1,701.71 is: 2,346.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.16 : 3,721 = 1,701.71 : x
  2. Step 2: Convert to fraction form
    2,698.16/3,721 = 1,701.71/x
  3. Step 3: Cross multiply
    2,698.16x = 3,721 × 1,701.71
  4. Step 4: Simplify right side
    2,698.16x = 6,332,062.91
  5. Step 5: Solve for x
    x = 6,332,062.91/2,698.16
  6. Step 6: Final answer
    x = 2,346.81

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