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Finding the Fourth Proportional to 3,054.12, 4,214.69 and 1,656.87

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Solution

The fourth proportional to 3,054.12, 4,214.69 and 1,656.87 is: 2,286.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.12 : 4,214.69 = 1,656.87 : x
  2. Step 2: Convert to fraction form
    3,054.12/4,214.69 = 1,656.87/x
  3. Step 3: Cross multiply
    3,054.12x = 4,214.69 × 1,656.87
  4. Step 4: Simplify right side
    3,054.12x = 6,983,185.14
  5. Step 5: Solve for x
    x = 6,983,185.14/3,054.12
  6. Step 6: Final answer
    x = 2,286.48

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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.