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Finding the Fourth Proportional to 2,153.99, 2,971.79 and 1,314.39

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Solution

The fourth proportional to 2,153.99, 2,971.79 and 1,314.39 is: 1,813.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.99 : 2,971.79 = 1,314.39 : x
  2. Step 2: Convert to fraction form
    2,153.99/2,971.79 = 1,314.39/x
  3. Step 3: Cross multiply
    2,153.99x = 2,971.79 × 1,314.39
  4. Step 4: Simplify right side
    2,153.99x = 3,906,100.56
  5. Step 5: Solve for x
    x = 3,906,100.56/2,153.99
  6. Step 6: Final answer
    x = 1,813.42

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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.