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Finding the Fourth Proportional to 2,823.84, 4,235.94 and 1,180.56

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Solution

The fourth proportional to 2,823.84, 4,235.94 and 1,180.56 is: 1,770.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.84 : 4,235.94 = 1,180.56 : x
  2. Step 2: Convert to fraction form
    2,823.84/4,235.94 = 1,180.56/x
  3. Step 3: Cross multiply
    2,823.84x = 4,235.94 × 1,180.56
  4. Step 4: Simplify right side
    2,823.84x = 5,000,781.33
  5. Step 5: Solve for x
    x = 5,000,781.33/2,823.84
  6. Step 6: Final answer
    x = 1,770.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.