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Finding the Fourth Proportional to 2,405.73, 3,318.31 and 1,410.04

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Solution

The fourth proportional to 2,405.73, 3,318.31 and 1,410.04 is: 1,944.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.73 : 3,318.31 = 1,410.04 : x
  2. Step 2: Convert to fraction form
    2,405.73/3,318.31 = 1,410.04/x
  3. Step 3: Cross multiply
    2,405.73x = 3,318.31 × 1,410.04
  4. Step 4: Simplify right side
    2,405.73x = 4,678,949.83
  5. Step 5: Solve for x
    x = 4,678,949.83/2,405.73
  6. Step 6: Final answer
    x = 1,944.92

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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.