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Finding the Fourth Proportional to 1,609.31, 2,219.92 and 946.04

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Solution

The fourth proportional to 1,609.31, 2,219.92 and 946.04 is: 1,304.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.31 : 2,219.92 = 946.04 : x
  2. Step 2: Convert to fraction form
    1,609.31/2,219.92 = 946.04/x
  3. Step 3: Cross multiply
    1,609.31x = 2,219.92 × 946.04
  4. Step 4: Simplify right side
    1,609.31x = 2,100,133.12
  5. Step 5: Solve for x
    x = 2,100,133.12/1,609.31
  6. Step 6: Final answer
    x = 1,304.99

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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.