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Finding the Fourth Proportional to 2,322.36, 3,481.02 and 1,165.32

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Solution

The fourth proportional to 2,322.36, 3,481.02 and 1,165.32 is: 1,746.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.36 : 3,481.02 = 1,165.32 : x
  2. Step 2: Convert to fraction form
    2,322.36/3,481.02 = 1,165.32/x
  3. Step 3: Cross multiply
    2,322.36x = 3,481.02 × 1,165.32
  4. Step 4: Simplify right side
    2,322.36x = 4,056,502.23
  5. Step 5: Solve for x
    x = 4,056,502.23/2,322.36
  6. Step 6: Final answer
    x = 1,746.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.