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Finding the Fourth Proportional to 1,551.79, 2,141.42 and 843.60

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Solution

The fourth proportional to 1,551.79, 2,141.42 and 843.60 is: 1,164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.79 : 2,141.42 = 843.60 : x
  2. Step 2: Convert to fraction form
    1,551.79/2,141.42 = 843.60/x
  3. Step 3: Cross multiply
    1,551.79x = 2,141.42 × 843.60
  4. Step 4: Simplify right side
    1,551.79x = 1,806,504.02
  5. Step 5: Solve for x
    x = 1,806,504.02/1,551.79
  6. Step 6: Final answer
    x = 1,164.14

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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.