Home / 2,467.24-3,702.30-1,983.40

Finding the Fourth Proportional to 2,467.24, 3,702.30 and 1,983.40

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Solution

The fourth proportional to 2,467.24, 3,702.30 and 1,983.40 is: 2,976.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.24 : 3,702.30 = 1,983.40 : x
  2. Step 2: Convert to fraction form
    2,467.24/3,702.30 = 1,983.40/x
  3. Step 3: Cross multiply
    2,467.24x = 3,702.30 × 1,983.40
  4. Step 4: Simplify right side
    2,467.24x = 7,343,141.82
  5. Step 5: Solve for x
    x = 7,343,141.82/2,467.24
  6. Step 6: Final answer
    x = 2,976.26

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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.