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Finding the Fourth Proportional to 1,555.42, 2,146.18 and 892.12

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Solution

The fourth proportional to 1,555.42, 2,146.18 and 892.12 is: 1,230.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.42 : 2,146.18 = 892.12 : x
  2. Step 2: Convert to fraction form
    1,555.42/2,146.18 = 892.12/x
  3. Step 3: Cross multiply
    1,555.42x = 2,146.18 × 892.12
  4. Step 4: Simplify right side
    1,555.42x = 1,914,650.10
  5. Step 5: Solve for x
    x = 1,914,650.10/1,555.42
  6. Step 6: Final answer
    x = 1,230.95

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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.