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Finding the Fourth Proportional to 1,685.01, 2,321.79 and 1,568.22

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Solution

The fourth proportional to 1,685.01, 2,321.79 and 1,568.22 is: 2,160.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.01 : 2,321.79 = 1,568.22 : x
  2. Step 2: Convert to fraction form
    1,685.01/2,321.79 = 1,568.22/x
  3. Step 3: Cross multiply
    1,685.01x = 2,321.79 × 1,568.22
  4. Step 4: Simplify right side
    1,685.01x = 3,641,077.51
  5. Step 5: Solve for x
    x = 3,641,077.51/1,685.01
  6. Step 6: Final answer
    x = 2,160.86

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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.