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Finding the Fourth Proportional to 1,911.23, 2,867.17 and 678.38

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Solution

The fourth proportional to 1,911.23, 2,867.17 and 678.38 is: 1,017.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.23 : 2,867.17 = 678.38 : x
  2. Step 2: Convert to fraction form
    1,911.23/2,867.17 = 678.38/x
  3. Step 3: Cross multiply
    1,911.23x = 2,867.17 × 678.38
  4. Step 4: Simplify right side
    1,911.23x = 1,945,030.78
  5. Step 5: Solve for x
    x = 1,945,030.78/1,911.23
  6. Step 6: Final answer
    x = 1,017.69

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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.