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Finding the Fourth Proportional to 2,802.14, 3,866.94 and 1,607.09

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Solution

The fourth proportional to 2,802.14, 3,866.94 and 1,607.09 is: 2,217.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.14 : 3,866.94 = 1,607.09 : x
  2. Step 2: Convert to fraction form
    2,802.14/3,866.94 = 1,607.09/x
  3. Step 3: Cross multiply
    2,802.14x = 3,866.94 × 1,607.09
  4. Step 4: Simplify right side
    2,802.14x = 6,214,523.02
  5. Step 5: Solve for x
    x = 6,214,523.02/2,802.14
  6. Step 6: Final answer
    x = 2,217.77

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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.