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Finding the Fourth Proportional to 2,383.36, 3,289.02 and 1,335.40

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Solution

The fourth proportional to 2,383.36, 3,289.02 and 1,335.40 is: 1,842.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.36 : 3,289.02 = 1,335.40 : x
  2. Step 2: Convert to fraction form
    2,383.36/3,289.02 = 1,335.40/x
  3. Step 3: Cross multiply
    2,383.36x = 3,289.02 × 1,335.40
  4. Step 4: Simplify right side
    2,383.36x = 4,392,157.31
  5. Step 5: Solve for x
    x = 4,392,157.31/2,383.36
  6. Step 6: Final answer
    x = 1,842.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.