Home / 1,467.12-2,024.73-837.71

Finding the Fourth Proportional to 1,467.12, 2,024.73 and 837.71

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Solution

The fourth proportional to 1,467.12, 2,024.73 and 837.71 is: 1,156.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.12 : 2,024.73 = 837.71 : x
  2. Step 2: Convert to fraction form
    1,467.12/2,024.73 = 837.71/x
  3. Step 3: Cross multiply
    1,467.12x = 2,024.73 × 837.71
  4. Step 4: Simplify right side
    1,467.12x = 1,696,126.44
  5. Step 5: Solve for x
    x = 1,696,126.44/1,467.12
  6. Step 6: Final answer
    x = 1,156.09

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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.