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Finding the Fourth Proportional to 1,553.23, 2,143.50 and 845.12

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Solution

The fourth proportional to 1,553.23, 2,143.50 and 845.12 is: 1,166.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.23 : 2,143.50 = 845.12 : x
  2. Step 2: Convert to fraction form
    1,553.23/2,143.50 = 845.12/x
  3. Step 3: Cross multiply
    1,553.23x = 2,143.50 × 845.12
  4. Step 4: Simplify right side
    1,553.23x = 1,811,499.78
  5. Step 5: Solve for x
    x = 1,811,499.78/1,553.23
  6. Step 6: Final answer
    x = 1,166.28

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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.