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Finding the Fourth Proportional to 2,109.00, 2,911.09 and 1,224.63

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Solution

The fourth proportional to 2,109.00, 2,911.09 and 1,224.63 is: 1,690.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.00 : 2,911.09 = 1,224.63 : x
  2. Step 2: Convert to fraction form
    2,109.00/2,911.09 = 1,224.63/x
  3. Step 3: Cross multiply
    2,109.00x = 2,911.09 × 1,224.63
  4. Step 4: Simplify right side
    2,109.00x = 3,564,993.59
  5. Step 5: Solve for x
    x = 3,564,993.59/2,109.00
  6. Step 6: Final answer
    x = 1,690.38

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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.