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Finding the Fourth Proportional to 1,918.30, 2,876.83 and 619.46

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Solution

The fourth proportional to 1,918.30, 2,876.83 and 619.46 is: 928.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.30 : 2,876.83 = 619.46 : x
  2. Step 2: Convert to fraction form
    1,918.30/2,876.83 = 619.46/x
  3. Step 3: Cross multiply
    1,918.30x = 2,876.83 × 619.46
  4. Step 4: Simplify right side
    1,918.30x = 1,782,078.01
  5. Step 5: Solve for x
    x = 1,782,078.01/1,918.30
  6. Step 6: Final answer
    x = 928.99

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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.