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Finding the Fourth Proportional to 2,335.64, 3,223.14 and 1,287.74

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Solution

The fourth proportional to 2,335.64, 3,223.14 and 1,287.74 is: 1,777.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.64 : 3,223.14 = 1,287.74 : x
  2. Step 2: Convert to fraction form
    2,335.64/3,223.14 = 1,287.74/x
  3. Step 3: Cross multiply
    2,335.64x = 3,223.14 × 1,287.74
  4. Step 4: Simplify right side
    2,335.64x = 4,150,566.30
  5. Step 5: Solve for x
    x = 4,150,566.30/2,335.64
  6. Step 6: Final answer
    x = 1,777.06

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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.