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Finding the Fourth Proportional to 1,650.53, 2,276.97 and 1,461.67

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Solution

The fourth proportional to 1,650.53, 2,276.97 and 1,461.67 is: 2,016.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.53 : 2,276.97 = 1,461.67 : x
  2. Step 2: Convert to fraction form
    1,650.53/2,276.97 = 1,461.67/x
  3. Step 3: Cross multiply
    1,650.53x = 2,276.97 × 1,461.67
  4. Step 4: Simplify right side
    1,650.53x = 3,328,174.07
  5. Step 5: Solve for x
    x = 3,328,174.07/1,650.53
  6. Step 6: Final answer
    x = 2,016.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.