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Finding the Fourth Proportional to 2,335.40, 3,223.04 and 1,287.64

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Solution

The fourth proportional to 2,335.40, 3,223.04 and 1,287.64 is: 1,777.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.40 : 3,223.04 = 1,287.64 : x
  2. Step 2: Convert to fraction form
    2,335.40/3,223.04 = 1,287.64/x
  3. Step 3: Cross multiply
    2,335.40x = 3,223.04 × 1,287.64
  4. Step 4: Simplify right side
    2,335.40x = 4,150,115.23
  5. Step 5: Solve for x
    x = 4,150,115.23/2,335.40
  6. Step 6: Final answer
    x = 1,777.05

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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.