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Finding the Fourth Proportional to 3,054.08, 4,214.64 and 1,656.84

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Solution

The fourth proportional to 3,054.08, 4,214.64 and 1,656.84 is: 2,286.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.08 : 4,214.64 = 1,656.84 : x
  2. Step 2: Convert to fraction form
    3,054.08/4,214.64 = 1,656.84/x
  3. Step 3: Cross multiply
    3,054.08x = 4,214.64 × 1,656.84
  4. Step 4: Simplify right side
    3,054.08x = 6,982,984.14
  5. Step 5: Solve for x
    x = 6,982,984.14/3,054.08
  6. Step 6: Final answer
    x = 2,286.44

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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.