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Finding the Fourth Proportional to 2,774.78, 3,830.72 and 2,012.86

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Solution

The fourth proportional to 2,774.78, 3,830.72 and 2,012.86 is: 2,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.78 : 3,830.72 = 2,012.86 : x
  2. Step 2: Convert to fraction form
    2,774.78/3,830.72 = 2,012.86/x
  3. Step 3: Cross multiply
    2,774.78x = 3,830.72 × 2,012.86
  4. Step 4: Simplify right side
    2,774.78x = 7,710,697.33
  5. Step 5: Solve for x
    x = 7,710,697.33/2,774.78
  6. Step 6: Final answer
    x = 2,778.85

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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.