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Finding the Fourth Proportional to 2,665.90, 3,675.36 and 2,296.81

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Solution

The fourth proportional to 2,665.90, 3,675.36 and 2,296.81 is: 3,166.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.90 : 3,675.36 = 2,296.81 : x
  2. Step 2: Convert to fraction form
    2,665.90/3,675.36 = 2,296.81/x
  3. Step 3: Cross multiply
    2,665.90x = 3,675.36 × 2,296.81
  4. Step 4: Simplify right side
    2,665.90x = 8,441,603.60
  5. Step 5: Solve for x
    x = 8,441,603.60/2,665.90
  6. Step 6: Final answer
    x = 3,166.51

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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.