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Finding the Fourth Proportional to 2,333.81, 3,220.89 and 1,743.32

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Solution

The fourth proportional to 2,333.81, 3,220.89 and 1,743.32 is: 2,405.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.81 : 3,220.89 = 1,743.32 : x
  2. Step 2: Convert to fraction form
    2,333.81/3,220.89 = 1,743.32/x
  3. Step 3: Cross multiply
    2,333.81x = 3,220.89 × 1,743.32
  4. Step 4: Simplify right side
    2,333.81x = 5,615,041.95
  5. Step 5: Solve for x
    x = 5,615,041.95/2,333.81
  6. Step 6: Final answer
    x = 2,405.96

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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.