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Finding the Fourth Proportional to 2,683.10, 3,704.41 and 2,186.93

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Solution

The fourth proportional to 2,683.10, 3,704.41 and 2,186.93 is: 3,019.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.10 : 3,704.41 = 2,186.93 : x
  2. Step 2: Convert to fraction form
    2,683.10/3,704.41 = 2,186.93/x
  3. Step 3: Cross multiply
    2,683.10x = 3,704.41 × 2,186.93
  4. Step 4: Simplify right side
    2,683.10x = 8,101,285.36
  5. Step 5: Solve for x
    x = 8,101,285.36/2,683.10
  6. Step 6: Final answer
    x = 3,019.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.