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Finding the Fourth Proportional to 1,683.89, 2,323.71 and 937.83

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Solution

The fourth proportional to 1,683.89, 2,323.71 and 937.83 is: 1,294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.89 : 2,323.71 = 937.83 : x
  2. Step 2: Convert to fraction form
    1,683.89/2,323.71 = 937.83/x
  3. Step 3: Cross multiply
    1,683.89x = 2,323.71 × 937.83
  4. Step 4: Simplify right side
    1,683.89x = 2,179,244.95
  5. Step 5: Solve for x
    x = 2,179,244.95/1,683.89
  6. Step 6: Final answer
    x = 1,294.17

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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.