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Finding the Fourth Proportional to 2,802.75, 4,204.09 and 1,341.10

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Solution

The fourth proportional to 2,802.75, 4,204.09 and 1,341.10 is: 2,011.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.75 : 4,204.09 = 1,341.10 : x
  2. Step 2: Convert to fraction form
    2,802.75/4,204.09 = 1,341.10/x
  3. Step 3: Cross multiply
    2,802.75x = 4,204.09 × 1,341.10
  4. Step 4: Simplify right side
    2,802.75x = 5,638,105.10
  5. Step 5: Solve for x
    x = 5,638,105.10/2,802.75
  6. Step 6: Final answer
    x = 2,011.63

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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.