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Finding the Fourth Proportional to 1,967.70, 2,715.48 and 1,083.54

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Solution

The fourth proportional to 1,967.70, 2,715.48 and 1,083.54 is: 1,495.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.70 : 2,715.48 = 1,083.54 : x
  2. Step 2: Convert to fraction form
    1,967.70/2,715.48 = 1,083.54/x
  3. Step 3: Cross multiply
    1,967.70x = 2,715.48 × 1,083.54
  4. Step 4: Simplify right side
    1,967.70x = 2,942,331.20
  5. Step 5: Solve for x
    x = 2,942,331.20/1,967.70
  6. Step 6: Final answer
    x = 1,495.31

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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.