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Finding the Fourth Proportional to 1,384.37, 1,910.75 and 887.43

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Solution

The fourth proportional to 1,384.37, 1,910.75 and 887.43 is: 1,224.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.37 : 1,910.75 = 887.43 : x
  2. Step 2: Convert to fraction form
    1,384.37/1,910.75 = 887.43/x
  3. Step 3: Cross multiply
    1,384.37x = 1,910.75 × 887.43
  4. Step 4: Simplify right side
    1,384.37x = 1,695,652.44
  5. Step 5: Solve for x
    x = 1,695,652.44/1,384.37
  6. Step 6: Final answer
    x = 1,224.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.