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Finding the Fourth Proportional to 1,649.28, 2,274.08 and 1,369.84

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Solution

The fourth proportional to 1,649.28, 2,274.08 and 1,369.84 is: 1,888.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.28 : 2,274.08 = 1,369.84 : x
  2. Step 2: Convert to fraction form
    1,649.28/2,274.08 = 1,369.84/x
  3. Step 3: Cross multiply
    1,649.28x = 2,274.08 × 1,369.84
  4. Step 4: Simplify right side
    1,649.28x = 3,115,125.75
  5. Step 5: Solve for x
    x = 3,115,125.75/1,649.28
  6. Step 6: Final answer
    x = 1,888.78

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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.