Home / 1,584.72-2,376.24-926.82

Finding the Fourth Proportional to 1,584.72, 2,376.24 and 926.82

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Solution

The fourth proportional to 1,584.72, 2,376.24 and 926.82 is: 1,389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.72 : 2,376.24 = 926.82 : x
  2. Step 2: Convert to fraction form
    1,584.72/2,376.24 = 926.82/x
  3. Step 3: Cross multiply
    1,584.72x = 2,376.24 × 926.82
  4. Step 4: Simplify right side
    1,584.72x = 2,202,346.76
  5. Step 5: Solve for x
    x = 2,202,346.76/1,584.72
  6. Step 6: Final answer
    x = 1,389.74

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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.