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Finding the Fourth Proportional to 1,991.69, 2,748.91 and 1,319.51

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Solution

The fourth proportional to 1,991.69, 2,748.91 and 1,319.51 is: 1,821.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.69 : 2,748.91 = 1,319.51 : x
  2. Step 2: Convert to fraction form
    1,991.69/2,748.91 = 1,319.51/x
  3. Step 3: Cross multiply
    1,991.69x = 2,748.91 × 1,319.51
  4. Step 4: Simplify right side
    1,991.69x = 3,627,214.23
  5. Step 5: Solve for x
    x = 3,627,214.23/1,991.69
  6. Step 6: Final answer
    x = 1,821.17

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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.