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Finding the Fourth Proportional to 1,917.81, 2,645.69 and 1,209.33

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Solution

The fourth proportional to 1,917.81, 2,645.69 and 1,209.33 is: 1,668.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.81 : 2,645.69 = 1,209.33 : x
  2. Step 2: Convert to fraction form
    1,917.81/2,645.69 = 1,209.33/x
  3. Step 3: Cross multiply
    1,917.81x = 2,645.69 × 1,209.33
  4. Step 4: Simplify right side
    1,917.81x = 3,199,506.24
  5. Step 5: Solve for x
    x = 3,199,506.24/1,917.81
  6. Step 6: Final answer
    x = 1,668.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.