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Finding the Fourth Proportional to 1,224.42, 1,832.52 and 1,123.26

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Solution

The fourth proportional to 1,224.42, 1,832.52 and 1,123.26 is: 1,681.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.42 : 1,832.52 = 1,123.26 : x
  2. Step 2: Convert to fraction form
    1,224.42/1,832.52 = 1,123.26/x
  3. Step 3: Cross multiply
    1,224.42x = 1,832.52 × 1,123.26
  4. Step 4: Simplify right side
    1,224.42x = 2,058,396.42
  5. Step 5: Solve for x
    x = 2,058,396.42/1,224.42
  6. Step 6: Final answer
    x = 1,681.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.