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Finding the Fourth Proportional to 2,001.36, 2,994 and 1,730.36

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Solution

The fourth proportional to 2,001.36, 2,994 and 1,730.36 is: 2,588.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.36 : 2,994 = 1,730.36 : x
  2. Step 2: Convert to fraction form
    2,001.36/2,994 = 1,730.36/x
  3. Step 3: Cross multiply
    2,001.36x = 2,994 × 1,730.36
  4. Step 4: Simplify right side
    2,001.36x = 5,180,697.84
  5. Step 5: Solve for x
    x = 5,180,697.84/2,001.36
  6. Step 6: Final answer
    x = 2,588.59

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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.