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Finding the Fourth Proportional to 2,683.86, 3,700.91 and 2,123.43

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Solution

The fourth proportional to 2,683.86, 3,700.91 and 2,123.43 is: 2,928.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.86 : 3,700.91 = 2,123.43 : x
  2. Step 2: Convert to fraction form
    2,683.86/3,700.91 = 2,123.43/x
  3. Step 3: Cross multiply
    2,683.86x = 3,700.91 × 2,123.43
  4. Step 4: Simplify right side
    2,683.86x = 7,858,612.70
  5. Step 5: Solve for x
    x = 7,858,612.70/2,683.86
  6. Step 6: Final answer
    x = 2,928.10

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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.