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Finding the Fourth Proportional to 2,274, 3,140.82 and 1,885.20

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Solution

The fourth proportional to 2,274, 3,140.82 and 1,885.20 is: 2,603.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274 : 3,140.82 = 1,885.20 : x
  2. Step 2: Convert to fraction form
    2,274/3,140.82 = 1,885.20/x
  3. Step 3: Cross multiply
    2,274x = 3,140.82 × 1,885.20
  4. Step 4: Simplify right side
    2,274x = 5,921,073.86
  5. Step 5: Solve for x
    x = 5,921,073.86/2,274
  6. Step 6: Final answer
    x = 2,603.81

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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.