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Finding the Fourth Proportional to 1,940.77, 2,675.77 and 1,410.42

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Solution

The fourth proportional to 1,940.77, 2,675.77 and 1,410.42 is: 1,944.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.77 : 2,675.77 = 1,410.42 : x
  2. Step 2: Convert to fraction form
    1,940.77/2,675.77 = 1,410.42/x
  3. Step 3: Cross multiply
    1,940.77x = 2,675.77 × 1,410.42
  4. Step 4: Simplify right side
    1,940.77x = 3,773,966.03
  5. Step 5: Solve for x
    x = 3,773,966.03/1,940.77
  6. Step 6: Final answer
    x = 1,944.57

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Why These Related Problems?

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