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Finding the Fourth Proportional to 1,662.21, 2,291.81 and 1,346.31

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Solution

The fourth proportional to 1,662.21, 2,291.81 and 1,346.31 is: 1,856.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.21 : 2,291.81 = 1,346.31 : x
  2. Step 2: Convert to fraction form
    1,662.21/2,291.81 = 1,346.31/x
  3. Step 3: Cross multiply
    1,662.21x = 2,291.81 × 1,346.31
  4. Step 4: Simplify right side
    1,662.21x = 3,085,486.72
  5. Step 5: Solve for x
    x = 3,085,486.72/1,662.21
  6. Step 6: Final answer
    x = 1,856.26

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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.