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Finding the Fourth Proportional to 1,555.40, 2,146.60 and 892.48

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Solution

The fourth proportional to 1,555.40, 2,146.60 and 892.48 is: 1,231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.40 : 2,146.60 = 892.48 : x
  2. Step 2: Convert to fraction form
    1,555.40/2,146.60 = 892.48/x
  3. Step 3: Cross multiply
    1,555.40x = 2,146.60 × 892.48
  4. Step 4: Simplify right side
    1,555.40x = 1,915,797.57
  5. Step 5: Solve for x
    x = 1,915,797.57/1,555.40
  6. Step 6: Final answer
    x = 1,231.71

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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.