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Finding the Fourth Proportional to 2,186, 3,276.84 and 1,029.68

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Solution

The fourth proportional to 2,186, 3,276.84 and 1,029.68 is: 1,543.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186 : 3,276.84 = 1,029.68 : x
  2. Step 2: Convert to fraction form
    2,186/3,276.84 = 1,029.68/x
  3. Step 3: Cross multiply
    2,186x = 3,276.84 × 1,029.68
  4. Step 4: Simplify right side
    2,186x = 3,374,096.61
  5. Step 5: Solve for x
    x = 3,374,096.61/2,186
  6. Step 6: Final answer
    x = 1,543.50

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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.