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Finding the Fourth Proportional to 2,245.41, 3,368.65 and 706.41

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Solution

The fourth proportional to 2,245.41, 3,368.65 and 706.41 is: 1,059.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.41 : 3,368.65 = 706.41 : x
  2. Step 2: Convert to fraction form
    2,245.41/3,368.65 = 706.41/x
  3. Step 3: Cross multiply
    2,245.41x = 3,368.65 × 706.41
  4. Step 4: Simplify right side
    2,245.41x = 2,379,648.05
  5. Step 5: Solve for x
    x = 2,379,648.05/2,245.41
  6. Step 6: Final answer
    x = 1,059.78

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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.