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Finding the Fourth Proportional to 1,905.93, 2,628.25 and 1,276.36

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Solution

The fourth proportional to 1,905.93, 2,628.25 and 1,276.36 is: 1,760.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.93 : 2,628.25 = 1,276.36 : x
  2. Step 2: Convert to fraction form
    1,905.93/2,628.25 = 1,276.36/x
  3. Step 3: Cross multiply
    1,905.93x = 2,628.25 × 1,276.36
  4. Step 4: Simplify right side
    1,905.93x = 3,354,583.41
  5. Step 5: Solve for x
    x = 3,354,583.41/1,905.93
  6. Step 6: Final answer
    x = 1,760.08

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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.