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Finding the Fourth Proportional to 2,335, 3,222.62 and 1,714.84

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Solution

The fourth proportional to 2,335, 3,222.62 and 1,714.84 is: 2,366.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335 : 3,222.62 = 1,714.84 : x
  2. Step 2: Convert to fraction form
    2,335/3,222.62 = 1,714.84/x
  3. Step 3: Cross multiply
    2,335x = 3,222.62 × 1,714.84
  4. Step 4: Simplify right side
    2,335x = 5,526,277.68
  5. Step 5: Solve for x
    x = 5,526,277.68/2,335
  6. Step 6: Final answer
    x = 2,366.71

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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.