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Finding the Fourth Proportional to 3,007.79, 4,151.20 and 1,828.63

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Solution

The fourth proportional to 3,007.79, 4,151.20 and 1,828.63 is: 2,523.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.79 : 4,151.20 = 1,828.63 : x
  2. Step 2: Convert to fraction form
    3,007.79/4,151.20 = 1,828.63/x
  3. Step 3: Cross multiply
    3,007.79x = 4,151.20 × 1,828.63
  4. Step 4: Simplify right side
    3,007.79x = 7,590,993.91
  5. Step 5: Solve for x
    x = 7,590,993.91/3,007.79
  6. Step 6: Final answer
    x = 2,523.78

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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.