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Finding the Fourth Proportional to 2,887.30, 3,984.42 and 1,628.34

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Solution

The fourth proportional to 2,887.30, 3,984.42 and 1,628.34 is: 2,247.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.30 : 3,984.42 = 1,628.34 : x
  2. Step 2: Convert to fraction form
    2,887.30/3,984.42 = 1,628.34/x
  3. Step 3: Cross multiply
    2,887.30x = 3,984.42 × 1,628.34
  4. Step 4: Simplify right side
    2,887.30x = 6,487,970.54
  5. Step 5: Solve for x
    x = 6,487,970.54/2,887.30
  6. Step 6: Final answer
    x = 2,247.07

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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.