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Finding the Fourth Proportional to 2,909.78, 4,012.74 and 2,245.58

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Solution

The fourth proportional to 2,909.78, 4,012.74 and 2,245.58 is: 3,096.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.78 : 4,012.74 = 2,245.58 : x
  2. Step 2: Convert to fraction form
    2,909.78/4,012.74 = 2,245.58/x
  3. Step 3: Cross multiply
    2,909.78x = 4,012.74 × 2,245.58
  4. Step 4: Simplify right side
    2,909.78x = 9,010,928.69
  5. Step 5: Solve for x
    x = 9,010,928.69/2,909.78
  6. Step 6: Final answer
    x = 3,096.77

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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.