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Finding the Fourth Proportional to 1,911.06, 2,866.41 and 678.42

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Solution

The fourth proportional to 1,911.06, 2,866.41 and 678.42 is: 1,017.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.06 : 2,866.41 = 678.42 : x
  2. Step 2: Convert to fraction form
    1,911.06/2,866.41 = 678.42/x
  3. Step 3: Cross multiply
    1,911.06x = 2,866.41 × 678.42
  4. Step 4: Simplify right side
    1,911.06x = 1,944,629.87
  5. Step 5: Solve for x
    x = 1,944,629.87/1,911.06
  6. Step 6: Final answer
    x = 1,017.57

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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.