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Finding the Fourth Proportional to 1,918.35, 2,876.94 and 930.56

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Solution

The fourth proportional to 1,918.35, 2,876.94 and 930.56 is: 1,395.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.35 : 2,876.94 = 930.56 : x
  2. Step 2: Convert to fraction form
    1,918.35/2,876.94 = 930.56/x
  3. Step 3: Cross multiply
    1,918.35x = 2,876.94 × 930.56
  4. Step 4: Simplify right side
    1,918.35x = 2,677,150.90
  5. Step 5: Solve for x
    x = 2,677,150.90/1,918.35
  6. Step 6: Final answer
    x = 1,395.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.