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Finding the Fourth Proportional to 1,907.75, 2,861.60 and 609.19

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Solution

The fourth proportional to 1,907.75, 2,861.60 and 609.19 is: 913.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.75 : 2,861.60 = 609.19 : x
  2. Step 2: Convert to fraction form
    1,907.75/2,861.60 = 609.19/x
  3. Step 3: Cross multiply
    1,907.75x = 2,861.60 × 609.19
  4. Step 4: Simplify right side
    1,907.75x = 1,743,247.90
  5. Step 5: Solve for x
    x = 1,743,247.90/1,907.75
  6. Step 6: Final answer
    x = 913.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.