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Finding the Fourth Proportional to 2,375.32, 3,563.40 and 1,059.54

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Solution

The fourth proportional to 2,375.32, 3,563.40 and 1,059.54 is: 1,589.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.32 : 3,563.40 = 1,059.54 : x
  2. Step 2: Convert to fraction form
    2,375.32/3,563.40 = 1,059.54/x
  3. Step 3: Cross multiply
    2,375.32x = 3,563.40 × 1,059.54
  4. Step 4: Simplify right side
    2,375.32x = 3,775,564.84
  5. Step 5: Solve for x
    x = 3,775,564.84/2,375.32
  6. Step 6: Final answer
    x = 1,589.50

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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.