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Finding the Fourth Proportional to 1,474.81, 2,035.11 and 845.18

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Solution

The fourth proportional to 1,474.81, 2,035.11 and 845.18 is: 1,166.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.81 : 2,035.11 = 845.18 : x
  2. Step 2: Convert to fraction form
    1,474.81/2,035.11 = 845.18/x
  3. Step 3: Cross multiply
    1,474.81x = 2,035.11 × 845.18
  4. Step 4: Simplify right side
    1,474.81x = 1,720,034.90
  5. Step 5: Solve for x
    x = 1,720,034.90/1,474.81
  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.