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Finding the Fourth Proportional to 1,555.73, 2,146.46 and 892.54

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Solution

The fourth proportional to 1,555.73, 2,146.46 and 892.54 is: 1,231.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.73 : 2,146.46 = 892.54 : x
  2. Step 2: Convert to fraction form
    1,555.73/2,146.46 = 892.54/x
  3. Step 3: Cross multiply
    1,555.73x = 2,146.46 × 892.54
  4. Step 4: Simplify right side
    1,555.73x = 1,915,801.41
  5. Step 5: Solve for x
    x = 1,915,801.41/1,555.73
  6. Step 6: Final answer
    x = 1,231.45

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1.5x scale

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.