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Finding the Fourth Proportional to 2,802.05, 3,867.18 and 1,810.22

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Solution

The fourth proportional to 2,802.05, 3,867.18 and 1,810.22 is: 2,498.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.05 : 3,867.18 = 1,810.22 : x
  2. Step 2: Convert to fraction form
    2,802.05/3,867.18 = 1,810.22/x
  3. Step 3: Cross multiply
    2,802.05x = 3,867.18 × 1,810.22
  4. Step 4: Simplify right side
    2,802.05x = 7,000,446.58
  5. Step 5: Solve for x
    x = 7,000,446.58/2,802.05
  6. Step 6: Final answer
    x = 2,498.33

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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.