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Finding the Fourth Proportional to 2,802.84, 4,201.34 and 1,568.44

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Solution

The fourth proportional to 2,802.84, 4,201.34 and 1,568.44 is: 2,351.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.84 : 4,201.34 = 1,568.44 : x
  2. Step 2: Convert to fraction form
    2,802.84/4,201.34 = 1,568.44/x
  3. Step 3: Cross multiply
    2,802.84x = 4,201.34 × 1,568.44
  4. Step 4: Simplify right side
    2,802.84x = 6,589,549.71
  5. Step 5: Solve for x
    x = 6,589,549.71/2,802.84
  6. Step 6: Final answer
    x = 2,351.03

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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.