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Finding the Fourth Proportional to 2,634, 3,953.14 and 1,335.84

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Solution

The fourth proportional to 2,634, 3,953.14 and 1,335.84 is: 2,004.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634 : 3,953.14 = 1,335.84 : x
  2. Step 2: Convert to fraction form
    2,634/3,953.14 = 1,335.84/x
  3. Step 3: Cross multiply
    2,634x = 3,953.14 × 1,335.84
  4. Step 4: Simplify right side
    2,634x = 5,280,762.54
  5. Step 5: Solve for x
    x = 5,280,762.54/2,634
  6. Step 6: Final answer
    x = 2,004.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.