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Finding the Fourth Proportional to 3,053.56, 4,213.90 and 1,656.31

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Solution

The fourth proportional to 3,053.56, 4,213.90 and 1,656.31 is: 2,285.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.56 : 4,213.90 = 1,656.31 : x
  2. Step 2: Convert to fraction form
    3,053.56/4,213.90 = 1,656.31/x
  3. Step 3: Cross multiply
    3,053.56x = 4,213.90 × 1,656.31
  4. Step 4: Simplify right side
    3,053.56x = 6,979,524.71
  5. Step 5: Solve for x
    x = 6,979,524.71/3,053.56
  6. Step 6: Final answer
    x = 2,285.70

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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.