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Finding the Fourth Proportional to 2,072.42, 2,859.74 and 1,233.04

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Solution

The fourth proportional to 2,072.42, 2,859.74 and 1,233.04 is: 1,701.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.42 : 2,859.74 = 1,233.04 : x
  2. Step 2: Convert to fraction form
    2,072.42/2,859.74 = 1,233.04/x
  3. Step 3: Cross multiply
    2,072.42x = 2,859.74 × 1,233.04
  4. Step 4: Simplify right side
    2,072.42x = 3,526,173.81
  5. Step 5: Solve for x
    x = 3,526,173.81/2,072.42
  6. Step 6: Final answer
    x = 1,701.48

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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.