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Finding the Fourth Proportional to 2,735.35, 4,102.62 and 886.63

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Solution

The fourth proportional to 2,735.35, 4,102.62 and 886.63 is: 1,329.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.35 : 4,102.62 = 886.63 : x
  2. Step 2: Convert to fraction form
    2,735.35/4,102.62 = 886.63/x
  3. Step 3: Cross multiply
    2,735.35x = 4,102.62 × 886.63
  4. Step 4: Simplify right side
    2,735.35x = 3,637,507.56
  5. Step 5: Solve for x
    x = 3,637,507.56/2,735.35
  6. Step 6: Final answer
    x = 1,329.81

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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.