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Finding the Fourth Proportional to 2,189.56, 3,021.51 and 1,258

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Solution

The fourth proportional to 2,189.56, 3,021.51 and 1,258 is: 1,735.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.56 : 3,021.51 = 1,258 : x
  2. Step 2: Convert to fraction form
    2,189.56/3,021.51 = 1,258/x
  3. Step 3: Cross multiply
    2,189.56x = 3,021.51 × 1,258
  4. Step 4: Simplify right side
    2,189.56x = 3,801,059.58
  5. Step 5: Solve for x
    x = 3,801,059.58/2,189.56
  6. Step 6: Final answer
    x = 1,735.99

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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.