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Finding the Fourth Proportional to 2,343.56, 3,515.50 and 1,189

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Solution

The fourth proportional to 2,343.56, 3,515.50 and 1,189 is: 1,783.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.56 : 3,515.50 = 1,189 : x
  2. Step 2: Convert to fraction form
    2,343.56/3,515.50 = 1,189/x
  3. Step 3: Cross multiply
    2,343.56x = 3,515.50 × 1,189
  4. Step 4: Simplify right side
    2,343.56x = 4,179,929.50
  5. Step 5: Solve for x
    x = 4,179,929.50/2,343.56
  6. Step 6: Final answer
    x = 1,783.58

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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.