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Finding the Fourth Proportional to 2,009.36, 3,006 and 1,738.36

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Solution

The fourth proportional to 2,009.36, 3,006 and 1,738.36 is: 2,600.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.36 : 3,006 = 1,738.36 : x
  2. Step 2: Convert to fraction form
    2,009.36/3,006 = 1,738.36/x
  3. Step 3: Cross multiply
    2,009.36x = 3,006 × 1,738.36
  4. Step 4: Simplify right side
    2,009.36x = 5,225,510.16
  5. Step 5: Solve for x
    x = 5,225,510.16/2,009.36
  6. Step 6: Final answer
    x = 2,600.58

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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.