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Finding the Fourth Proportional to 1,685.56, 2,329.16 and 1,469.04

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Solution

The fourth proportional to 1,685.56, 2,329.16 and 1,469.04 is: 2,029.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.56 : 2,329.16 = 1,469.04 : x
  2. Step 2: Convert to fraction form
    1,685.56/2,329.16 = 1,469.04/x
  3. Step 3: Cross multiply
    1,685.56x = 2,329.16 × 1,469.04
  4. Step 4: Simplify right side
    1,685.56x = 3,421,629.21
  5. Step 5: Solve for x
    x = 3,421,629.21/1,685.56
  6. Step 6: Final answer
    x = 2,029.97

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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.