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Finding the Fourth Proportional to 2,802.06, 3,867.13 and 2,102.22

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Solution

The fourth proportional to 2,802.06, 3,867.13 and 2,102.22 is: 2,901.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.06 : 3,867.13 = 2,102.22 : x
  2. Step 2: Convert to fraction form
    2,802.06/3,867.13 = 2,102.22/x
  3. Step 3: Cross multiply
    2,802.06x = 3,867.13 × 2,102.22
  4. Step 4: Simplify right side
    2,802.06x = 8,129,558.03
  5. Step 5: Solve for x
    x = 8,129,558.03/2,802.06
  6. Step 6: Final answer
    x = 2,901.28

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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.