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Finding the Fourth Proportional to 1,649.85, 2,276.99 and 941.82

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Solution

The fourth proportional to 1,649.85, 2,276.99 and 941.82 is: 1,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.85 : 2,276.99 = 941.82 : x
  2. Step 2: Convert to fraction form
    1,649.85/2,276.99 = 941.82/x
  3. Step 3: Cross multiply
    1,649.85x = 2,276.99 × 941.82
  4. Step 4: Simplify right side
    1,649.85x = 2,144,514.72
  5. Step 5: Solve for x
    x = 2,144,514.72/1,649.85
  6. Step 6: Final answer
    x = 1,299.82

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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.