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Finding the Fourth Proportional to 2,288.94, 3,158.74 and 1,241

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Solution

The fourth proportional to 2,288.94, 3,158.74 and 1,241 is: 1,712.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.94 : 3,158.74 = 1,241 : x
  2. Step 2: Convert to fraction form
    2,288.94/3,158.74 = 1,241/x
  3. Step 3: Cross multiply
    2,288.94x = 3,158.74 × 1,241
  4. Step 4: Simplify right side
    2,288.94x = 3,919,996.34
  5. Step 5: Solve for x
    x = 3,919,996.34/2,288.94
  6. Step 6: Final answer
    x = 1,712.58

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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.