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Finding the Fourth Proportional to 2,111.49, 2,910.74 and 1,365.39

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Solution

The fourth proportional to 2,111.49, 2,910.74 and 1,365.39 is: 1,882.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.49 : 2,910.74 = 1,365.39 : x
  2. Step 2: Convert to fraction form
    2,111.49/2,910.74 = 1,365.39/x
  3. Step 3: Cross multiply
    2,111.49x = 2,910.74 × 1,365.39
  4. Step 4: Simplify right side
    2,111.49x = 3,974,288.46
  5. Step 5: Solve for x
    x = 3,974,288.46/2,111.49
  6. Step 6: Final answer
    x = 1,882.22

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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.