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Finding the Fourth Proportional to 3,053.45, 4,213.76 and 1,656.20

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Solution

The fourth proportional to 3,053.45, 4,213.76 and 1,656.20 is: 2,285.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.45 : 4,213.76 = 1,656.20 : x
  2. Step 2: Convert to fraction form
    3,053.45/4,213.76 = 1,656.20/x
  3. Step 3: Cross multiply
    3,053.45x = 4,213.76 × 1,656.20
  4. Step 4: Simplify right side
    3,053.45x = 6,978,799.96
  5. Step 5: Solve for x
    x = 6,978,799.96/3,053.45
  6. Step 6: Final answer
    x = 2,285.55

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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.