Home / 2,462.18-3,692.91-923.18

Finding the Fourth Proportional to 2,462.18, 3,692.91 and 923.18

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Solution

The fourth proportional to 2,462.18, 3,692.91 and 923.18 is: 1,384.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.18 : 3,692.91 = 923.18 : x
  2. Step 2: Convert to fraction form
    2,462.18/3,692.91 = 923.18/x
  3. Step 3: Cross multiply
    2,462.18x = 3,692.91 × 923.18
  4. Step 4: Simplify right side
    2,462.18x = 3,409,220.65
  5. Step 5: Solve for x
    x = 3,409,220.65/2,462.18
  6. Step 6: Final answer
    x = 1,384.64

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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.