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Finding the Fourth Proportional to 1,628.92, 2,237.06 and 1,366.48

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Solution

The fourth proportional to 1,628.92, 2,237.06 and 1,366.48 is: 1,876.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.92 : 2,237.06 = 1,366.48 : x
  2. Step 2: Convert to fraction form
    1,628.92/2,237.06 = 1,366.48/x
  3. Step 3: Cross multiply
    1,628.92x = 2,237.06 × 1,366.48
  4. Step 4: Simplify right side
    1,628.92x = 3,056,897.75
  5. Step 5: Solve for x
    x = 3,056,897.75/1,628.92
  6. Step 6: Final answer
    x = 1,876.64

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.