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Finding the Fourth Proportional to 3,053.37, 4,213.65 and 1,656.12

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Solution

The fourth proportional to 3,053.37, 4,213.65 and 1,656.12 is: 2,285.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.37 : 4,213.65 = 1,656.12 : x
  2. Step 2: Convert to fraction form
    3,053.37/4,213.65 = 1,656.12/x
  3. Step 3: Cross multiply
    3,053.37x = 4,213.65 × 1,656.12
  4. Step 4: Simplify right side
    3,053.37x = 6,978,310.04
  5. Step 5: Solve for x
    x = 6,978,310.04/3,053.37
  6. Step 6: Final answer
    x = 2,285.45

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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.