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Finding the Fourth Proportional to 2,375.35, 3,563.09 and 1,125.65

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Solution

The fourth proportional to 2,375.35, 3,563.09 and 1,125.65 is: 1,688.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.35 : 3,563.09 = 1,125.65 : x
  2. Step 2: Convert to fraction form
    2,375.35/3,563.09 = 1,125.65/x
  3. Step 3: Cross multiply
    2,375.35x = 3,563.09 × 1,125.65
  4. Step 4: Simplify right side
    2,375.35x = 4,010,786.63
  5. Step 5: Solve for x
    x = 4,010,786.63/2,375.35
  6. Step 6: Final answer
    x = 1,688.50

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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.