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Finding the Fourth Proportional to 1,918.06, 2,646.03 and 1,209.58

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Solution

The fourth proportional to 1,918.06, 2,646.03 and 1,209.58 is: 1,668.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.06 : 2,646.03 = 1,209.58 : x
  2. Step 2: Convert to fraction form
    1,918.06/2,646.03 = 1,209.58/x
  3. Step 3: Cross multiply
    1,918.06x = 2,646.03 × 1,209.58
  4. Step 4: Simplify right side
    1,918.06x = 3,200,584.97
  5. Step 5: Solve for x
    x = 3,200,584.97/1,918.06
  6. Step 6: Final answer
    x = 1,668.66

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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.