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Finding the Fourth Proportional to 1,962.54, 2,708.81 and 1,216.05

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Solution

The fourth proportional to 1,962.54, 2,708.81 and 1,216.05 is: 1,678.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.54 : 2,708.81 = 1,216.05 : x
  2. Step 2: Convert to fraction form
    1,962.54/2,708.81 = 1,216.05/x
  3. Step 3: Cross multiply
    1,962.54x = 2,708.81 × 1,216.05
  4. Step 4: Simplify right side
    1,962.54x = 3,294,042.32
  5. Step 5: Solve for x
    x = 3,294,042.32/1,962.54
  6. Step 6: Final answer
    x = 1,678.46

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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.