Home / 2,462.24-3,396.84-1,762.40

Finding the Fourth Proportional to 2,462.24, 3,396.84 and 1,762.40

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Solution

The fourth proportional to 2,462.24, 3,396.84 and 1,762.40 is: 2,431.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.24 : 3,396.84 = 1,762.40 : x
  2. Step 2: Convert to fraction form
    2,462.24/3,396.84 = 1,762.40/x
  3. Step 3: Cross multiply
    2,462.24x = 3,396.84 × 1,762.40
  4. Step 4: Simplify right side
    2,462.24x = 5,986,590.82
  5. Step 5: Solve for x
    x = 5,986,590.82/2,462.24
  6. Step 6: Final answer
    x = 2,431.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.