Home / 1,467.24-2,024.53-837.73

Finding the Fourth Proportional to 1,467.24, 2,024.53 and 837.73

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Solution

The fourth proportional to 1,467.24, 2,024.53 and 837.73 is: 1,155.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.24 : 2,024.53 = 837.73 : x
  2. Step 2: Convert to fraction form
    1,467.24/2,024.53 = 837.73/x
  3. Step 3: Cross multiply
    1,467.24x = 2,024.53 × 837.73
  4. Step 4: Simplify right side
    1,467.24x = 1,696,009.52
  5. Step 5: Solve for x
    x = 1,696,009.52/1,467.24
  6. Step 6: Final answer
    x = 1,155.92

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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.