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Finding the Fourth Proportional to 1,918.94, 2,878.40 and 620.51

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Solution

The fourth proportional to 1,918.94, 2,878.40 and 620.51 is: 930.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.94 : 2,878.40 = 620.51 : x
  2. Step 2: Convert to fraction form
    1,918.94/2,878.40 = 620.51/x
  3. Step 3: Cross multiply
    1,918.94x = 2,878.40 × 620.51
  4. Step 4: Simplify right side
    1,918.94x = 1,786,063.14
  5. Step 5: Solve for x
    x = 1,786,063.14/1,918.94
  6. Step 6: Final answer
    x = 930.76

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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.