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Finding the Fourth Proportional to 3,044.94, 4,563.74 and 1,809.68

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Solution

The fourth proportional to 3,044.94, 4,563.74 and 1,809.68 is: 2,712.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.94 : 4,563.74 = 1,809.68 : x
  2. Step 2: Convert to fraction form
    3,044.94/4,563.74 = 1,809.68/x
  3. Step 3: Cross multiply
    3,044.94x = 4,563.74 × 1,809.68
  4. Step 4: Simplify right side
    3,044.94x = 8,258,909.00
  5. Step 5: Solve for x
    x = 8,258,909.00/3,044.94
  6. Step 6: Final answer
    x = 2,712.34

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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.