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Finding the Fourth Proportional to 1,626.42, 2,244.43 and 927.74

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Solution

The fourth proportional to 1,626.42, 2,244.43 and 927.74 is: 1,280.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.42 : 2,244.43 = 927.74 : x
  2. Step 2: Convert to fraction form
    1,626.42/2,244.43 = 927.74/x
  3. Step 3: Cross multiply
    1,626.42x = 2,244.43 × 927.74
  4. Step 4: Simplify right side
    1,626.42x = 2,082,247.49
  5. Step 5: Solve for x
    x = 2,082,247.49/1,626.42
  6. Step 6: Final answer
    x = 1,280.26

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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.