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Finding the Fourth Proportional to 2,406.64, 3,609.06 and 946

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Solution

The fourth proportional to 2,406.64, 3,609.06 and 946 is: 1,418.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.64 : 3,609.06 = 946 : x
  2. Step 2: Convert to fraction form
    2,406.64/3,609.06 = 946/x
  3. Step 3: Cross multiply
    2,406.64x = 3,609.06 × 946
  4. Step 4: Simplify right side
    2,406.64x = 3,414,170.76
  5. Step 5: Solve for x
    x = 3,414,170.76/2,406.64
  6. Step 6: Final answer
    x = 1,418.65

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Why These Related Problems?

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