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Finding the Fourth Proportional to 3,053.36, 4,213.62 and 1,656.11

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Solution

The fourth proportional to 3,053.36, 4,213.62 and 1,656.11 is: 2,285.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.36 : 4,213.62 = 1,656.11 : x
  2. Step 2: Convert to fraction form
    3,053.36/4,213.62 = 1,656.11/x
  3. Step 3: Cross multiply
    3,053.36x = 4,213.62 × 1,656.11
  4. Step 4: Simplify right side
    3,053.36x = 6,978,197.15
  5. Step 5: Solve for x
    x = 6,978,197.15/3,053.36
  6. Step 6: Final answer
    x = 2,285.42

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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.