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Finding the Fourth Proportional to 1,921.78, 2,880.40 and 1,100.62

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Solution

The fourth proportional to 1,921.78, 2,880.40 and 1,100.62 is: 1,649.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.78 : 2,880.40 = 1,100.62 : x
  2. Step 2: Convert to fraction form
    1,921.78/2,880.40 = 1,100.62/x
  3. Step 3: Cross multiply
    1,921.78x = 2,880.40 × 1,100.62
  4. Step 4: Simplify right side
    1,921.78x = 3,170,225.85
  5. Step 5: Solve for x
    x = 3,170,225.85/1,921.78
  6. Step 6: Final answer
    x = 1,649.63

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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.