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Finding the Fourth Proportional to 1,905.39, 2,858.09 and 518.87

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Solution

The fourth proportional to 1,905.39, 2,858.09 and 518.87 is: 778.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.39 : 2,858.09 = 518.87 : x
  2. Step 2: Convert to fraction form
    1,905.39/2,858.09 = 518.87/x
  3. Step 3: Cross multiply
    1,905.39x = 2,858.09 × 518.87
  4. Step 4: Simplify right side
    1,905.39x = 1,482,981.71
  5. Step 5: Solve for x
    x = 1,482,981.71/1,905.39
  6. Step 6: Final answer
    x = 778.31

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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.