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Finding the Fourth Proportional to 1,343.55, 1,857.18 and 1,121.20

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Solution

The fourth proportional to 1,343.55, 1,857.18 and 1,121.20 is: 1,549.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.55 : 1,857.18 = 1,121.20 : x
  2. Step 2: Convert to fraction form
    1,343.55/1,857.18 = 1,121.20/x
  3. Step 3: Cross multiply
    1,343.55x = 1,857.18 × 1,121.20
  4. Step 4: Simplify right side
    1,343.55x = 2,082,270.22
  5. Step 5: Solve for x
    x = 2,082,270.22/1,343.55
  6. Step 6: Final answer
    x = 1,549.83

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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.