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Finding the Fourth Proportional to 1,502.85, 2,255.94 and 1,196.67

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Solution

The fourth proportional to 1,502.85, 2,255.94 and 1,196.67 is: 1,796.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.85 : 2,255.94 = 1,196.67 : x
  2. Step 2: Convert to fraction form
    1,502.85/2,255.94 = 1,196.67/x
  3. Step 3: Cross multiply
    1,502.85x = 2,255.94 × 1,196.67
  4. Step 4: Simplify right side
    1,502.85x = 2,699,615.72
  5. Step 5: Solve for x
    x = 2,699,615.72/1,502.85
  6. Step 6: Final answer
    x = 1,796.33

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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.