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Finding the Fourth Proportional to 1,553.22, 2,143.46 and 845.08

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Solution

The fourth proportional to 1,553.22, 2,143.46 and 845.08 is: 1,166.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.22 : 2,143.46 = 845.08 : x
  2. Step 2: Convert to fraction form
    1,553.22/2,143.46 = 845.08/x
  3. Step 3: Cross multiply
    1,553.22x = 2,143.46 × 845.08
  4. Step 4: Simplify right side
    1,553.22x = 1,811,387.18
  5. Step 5: Solve for x
    x = 1,811,387.18/1,553.22
  6. Step 6: Final answer
    x = 1,166.21

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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.