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Finding the Fourth Proportional to 2,628.83, 3,940.80 and 986.45

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Solution

The fourth proportional to 2,628.83, 3,940.80 and 986.45 is: 1,478.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.83 : 3,940.80 = 986.45 : x
  2. Step 2: Convert to fraction form
    2,628.83/3,940.80 = 986.45/x
  3. Step 3: Cross multiply
    2,628.83x = 3,940.80 × 986.45
  4. Step 4: Simplify right side
    2,628.83x = 3,887,382.46
  5. Step 5: Solve for x
    x = 3,887,382.46/2,628.83
  6. Step 6: Final answer
    x = 1,478.75

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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.