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Finding the Fourth Proportional to 1,370.36, 1,889.65 and 1,259.39

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Solution

The fourth proportional to 1,370.36, 1,889.65 and 1,259.39 is: 1,736.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.36 : 1,889.65 = 1,259.39 : x
  2. Step 2: Convert to fraction form
    1,370.36/1,889.65 = 1,259.39/x
  3. Step 3: Cross multiply
    1,370.36x = 1,889.65 × 1,259.39
  4. Step 4: Simplify right side
    1,370.36x = 2,379,806.31
  5. Step 5: Solve for x
    x = 2,379,806.31/1,370.36
  6. Step 6: Final answer
    x = 1,736.63

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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.