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Finding the Fourth Proportional to 2,129, 3,194.78 and 913

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Solution

The fourth proportional to 2,129, 3,194.78 and 913 is: 1,370.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129 : 3,194.78 = 913 : x
  2. Step 2: Convert to fraction form
    2,129/3,194.78 = 913/x
  3. Step 3: Cross multiply
    2,129x = 3,194.78 × 913
  4. Step 4: Simplify right side
    2,129x = 2,916,834.14
  5. Step 5: Solve for x
    x = 2,916,834.14/2,129
  6. Step 6: Final answer
    x = 1,370.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.