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Finding the Fourth Proportional to 1,375.37, 2,059.16 and 1,245.60

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Solution

The fourth proportional to 1,375.37, 2,059.16 and 1,245.60 is: 1,864.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.37 : 2,059.16 = 1,245.60 : x
  2. Step 2: Convert to fraction form
    1,375.37/2,059.16 = 1,245.60/x
  3. Step 3: Cross multiply
    1,375.37x = 2,059.16 × 1,245.60
  4. Step 4: Simplify right side
    1,375.37x = 2,564,883.47
  5. Step 5: Solve for x
    x = 2,564,883.47/1,375.37
  6. Step 6: Final answer
    x = 1,864.87

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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.