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Finding the Fourth Proportional to 2,054.25, 2,840.27 and 1,962.45

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Solution

The fourth proportional to 2,054.25, 2,840.27 and 1,962.45 is: 2,713.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.25 : 2,840.27 = 1,962.45 : x
  2. Step 2: Convert to fraction form
    2,054.25/2,840.27 = 1,962.45/x
  3. Step 3: Cross multiply
    2,054.25x = 2,840.27 × 1,962.45
  4. Step 4: Simplify right side
    2,054.25x = 5,573,878.05
  5. Step 5: Solve for x
    x = 5,573,878.05/2,054.25
  6. Step 6: Final answer
    x = 2,713.34

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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.