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Finding the Fourth Proportional to 1,918.54, 2,646.29 and 1,171.55

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Solution

The fourth proportional to 1,918.54, 2,646.29 and 1,171.55 is: 1,615.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.54 : 2,646.29 = 1,171.55 : x
  2. Step 2: Convert to fraction form
    1,918.54/2,646.29 = 1,171.55/x
  3. Step 3: Cross multiply
    1,918.54x = 2,646.29 × 1,171.55
  4. Step 4: Simplify right side
    1,918.54x = 3,100,261.05
  5. Step 5: Solve for x
    x = 3,100,261.05/1,918.54
  6. Step 6: Final answer
    x = 1,615.95

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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.