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Finding the Fourth Proportional to 2,103.09, 2,902.01 and 1,317.39

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Solution

The fourth proportional to 2,103.09, 2,902.01 and 1,317.39 is: 1,817.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.09 : 2,902.01 = 1,317.39 : x
  2. Step 2: Convert to fraction form
    2,103.09/2,902.01 = 1,317.39/x
  3. Step 3: Cross multiply
    2,103.09x = 2,902.01 × 1,317.39
  4. Step 4: Simplify right side
    2,103.09x = 3,823,072.37
  5. Step 5: Solve for x
    x = 3,823,072.37/2,103.09
  6. Step 6: Final answer
    x = 1,817.84

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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.