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Finding the Fourth Proportional to 3,053.73, 4,214.16 and 1,656.48

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Solution

The fourth proportional to 3,053.73, 4,214.16 and 1,656.48 is: 2,285.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.73 : 4,214.16 = 1,656.48 : x
  2. Step 2: Convert to fraction form
    3,053.73/4,214.16 = 1,656.48/x
  3. Step 3: Cross multiply
    3,053.73x = 4,214.16 × 1,656.48
  4. Step 4: Simplify right side
    3,053.73x = 6,980,687.56
  5. Step 5: Solve for x
    x = 6,980,687.56/3,053.73
  6. Step 6: Final answer
    x = 2,285.95

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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.