Home / 1,584.27-2,373.31-966.44

Finding the Fourth Proportional to 1,584.27, 2,373.31 and 966.44

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Solution

The fourth proportional to 1,584.27, 2,373.31 and 966.44 is: 1,447.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.27 : 2,373.31 = 966.44 : x
  2. Step 2: Convert to fraction form
    1,584.27/2,373.31 = 966.44/x
  3. Step 3: Cross multiply
    1,584.27x = 2,373.31 × 966.44
  4. Step 4: Simplify right side
    1,584.27x = 2,293,661.72
  5. Step 5: Solve for x
    x = 2,293,661.72/1,584.27
  6. Step 6: Final answer
    x = 1,447.77

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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.