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Finding the Fourth Proportional to 1,905.89, 2,858.84 and 519.38

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Solution

The fourth proportional to 1,905.89, 2,858.84 and 519.38 is: 779.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.89 : 2,858.84 = 519.38 : x
  2. Step 2: Convert to fraction form
    1,905.89/2,858.84 = 519.38/x
  3. Step 3: Cross multiply
    1,905.89x = 2,858.84 × 519.38
  4. Step 4: Simplify right side
    1,905.89x = 1,484,807.43
  5. Step 5: Solve for x
    x = 1,484,807.43/1,905.89
  6. Step 6: Final answer
    x = 779.06

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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.