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Finding the Fourth Proportional to 1,555.22, 2,145.77 and 892.04

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Solution

The fourth proportional to 1,555.22, 2,145.77 and 892.04 is: 1,230.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.22 : 2,145.77 = 892.04 : x
  2. Step 2: Convert to fraction form
    1,555.22/2,145.77 = 892.04/x
  3. Step 3: Cross multiply
    1,555.22x = 2,145.77 × 892.04
  4. Step 4: Simplify right side
    1,555.22x = 1,914,097.48
  5. Step 5: Solve for x
    x = 1,914,097.48/1,555.22
  6. Step 6: Final answer
    x = 1,230.76

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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.