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Finding the Fourth Proportional to 4,470.85, 6,705.51 and 1,183.99

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Solution

The fourth proportional to 4,470.85, 6,705.51 and 1,183.99 is: 1,775.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.85 : 6,705.51 = 1,183.99 : x
  2. Step 2: Convert to fraction form
    4,470.85/6,705.51 = 1,183.99/x
  3. Step 3: Cross multiply
    4,470.85x = 6,705.51 × 1,183.99
  4. Step 4: Simplify right side
    4,470.85x = 7,939,256.78
  5. Step 5: Solve for x
    x = 7,939,256.78/4,470.85
  6. Step 6: Final answer
    x = 1,775.78

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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.