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Finding the Fourth Proportional to 2,683.29, 3,703.17 and 1,564.33

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Solution

The fourth proportional to 2,683.29, 3,703.17 and 1,564.33 is: 2,158.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.29 : 3,703.17 = 1,564.33 : x
  2. Step 2: Convert to fraction form
    2,683.29/3,703.17 = 1,564.33/x
  3. Step 3: Cross multiply
    2,683.29x = 3,703.17 × 1,564.33
  4. Step 4: Simplify right side
    2,683.29x = 5,792,979.93
  5. Step 5: Solve for x
    x = 5,792,979.93/2,683.29
  6. Step 6: Final answer
    x = 2,158.91

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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.