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Finding the Fourth Proportional to 1,242.10, 1,853.81 and 1,144.42

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Solution

The fourth proportional to 1,242.10, 1,853.81 and 1,144.42 is: 1,708.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.10 : 1,853.81 = 1,144.42 : x
  2. Step 2: Convert to fraction form
    1,242.10/1,853.81 = 1,144.42/x
  3. Step 3: Cross multiply
    1,242.10x = 1,853.81 × 1,144.42
  4. Step 4: Simplify right side
    1,242.10x = 2,121,537.24
  5. Step 5: Solve for x
    x = 2,121,537.24/1,242.10
  6. Step 6: Final answer
    x = 1,708.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.