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Finding the Fourth Proportional to 1,698.28, 2,330.17 and 1,669.16

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Solution

The fourth proportional to 1,698.28, 2,330.17 and 1,669.16 is: 2,290.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.28 : 2,330.17 = 1,669.16 : x
  2. Step 2: Convert to fraction form
    1,698.28/2,330.17 = 1,669.16/x
  3. Step 3: Cross multiply
    1,698.28x = 2,330.17 × 1,669.16
  4. Step 4: Simplify right side
    1,698.28x = 3,889,426.56
  5. Step 5: Solve for x
    x = 3,889,426.56/1,698.28
  6. Step 6: Final answer
    x = 2,290.22

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