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Finding the Fourth Proportional to 4,645.43, 6,969.06 and 2,048.39

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Solution

The fourth proportional to 4,645.43, 6,969.06 and 2,048.39 is: 3,072.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.43 : 6,969.06 = 2,048.39 : x
  2. Step 2: Convert to fraction form
    4,645.43/6,969.06 = 2,048.39/x
  3. Step 3: Cross multiply
    4,645.43x = 6,969.06 × 2,048.39
  4. Step 4: Simplify right side
    4,645.43x = 14,275,352.81
  5. Step 5: Solve for x
    x = 14,275,352.81/4,645.43
  6. Step 6: Final answer
    x = 3,072.99

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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.