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Finding the Fourth Proportional to 1,609.94, 2,410.32 and 1,456.16

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Solution

The fourth proportional to 1,609.94, 2,410.32 and 1,456.16 is: 2,180.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.94 : 2,410.32 = 1,456.16 : x
  2. Step 2: Convert to fraction form
    1,609.94/2,410.32 = 1,456.16/x
  3. Step 3: Cross multiply
    1,609.94x = 2,410.32 × 1,456.16
  4. Step 4: Simplify right side
    1,609.94x = 3,509,811.57
  5. Step 5: Solve for x
    x = 3,509,811.57/1,609.94
  6. Step 6: Final answer
    x = 2,180.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.