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Finding the Fourth Proportional to 2,245.76, 3,370.88 and 1,220.48

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Solution

The fourth proportional to 2,245.76, 3,370.88 and 1,220.48 is: 1,831.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.76 : 3,370.88 = 1,220.48 : x
  2. Step 2: Convert to fraction form
    2,245.76/3,370.88 = 1,220.48/x
  3. Step 3: Cross multiply
    2,245.76x = 3,370.88 × 1,220.48
  4. Step 4: Simplify right side
    2,245.76x = 4,114,091.62
  5. Step 5: Solve for x
    x = 4,114,091.62/2,245.76
  6. Step 6: Final answer
    x = 1,831.94

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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.