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Finding the Fourth Proportional to 2,322.10, 3,485.63 and 936.39

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Solution

The fourth proportional to 2,322.10, 3,485.63 and 936.39 is: 1,405.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.10 : 3,485.63 = 936.39 : x
  2. Step 2: Convert to fraction form
    2,322.10/3,485.63 = 936.39/x
  3. Step 3: Cross multiply
    2,322.10x = 3,485.63 × 936.39
  4. Step 4: Simplify right side
    2,322.10x = 3,263,924.49
  5. Step 5: Solve for x
    x = 3,263,924.49/2,322.10
  6. Step 6: Final answer
    x = 1,405.59

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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.