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Finding the Fourth Proportional to 1,555.91, 2,147.20 and 892.63

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Solution

The fourth proportional to 1,555.91, 2,147.20 and 892.63 is: 1,231.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.91 : 2,147.20 = 892.63 : x
  2. Step 2: Convert to fraction form
    1,555.91/2,147.20 = 892.63/x
  3. Step 3: Cross multiply
    1,555.91x = 2,147.20 × 892.63
  4. Step 4: Simplify right side
    1,555.91x = 1,916,652.06
  5. Step 5: Solve for x
    x = 1,916,652.06/1,555.91
  6. Step 6: Final answer
    x = 1,231.85

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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.