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Finding the Fourth Proportional to 2,140.89, 2,954.40 and 1,209.39

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Solution

The fourth proportional to 2,140.89, 2,954.40 and 1,209.39 is: 1,668.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.89 : 2,954.40 = 1,209.39 : x
  2. Step 2: Convert to fraction form
    2,140.89/2,954.40 = 1,209.39/x
  3. Step 3: Cross multiply
    2,140.89x = 2,954.40 × 1,209.39
  4. Step 4: Simplify right side
    2,140.89x = 3,573,021.82
  5. Step 5: Solve for x
    x = 3,573,021.82/2,140.89
  6. Step 6: Final answer
    x = 1,668.94

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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.