Home / 1,467.09-2,201.10-1,005.78

Finding the Fourth Proportional to 1,467.09, 2,201.10 and 1,005.78

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Solution

The fourth proportional to 1,467.09, 2,201.10 and 1,005.78 is: 1,508.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.09 : 2,201.10 = 1,005.78 : x
  2. Step 2: Convert to fraction form
    1,467.09/2,201.10 = 1,005.78/x
  3. Step 3: Cross multiply
    1,467.09x = 2,201.10 × 1,005.78
  4. Step 4: Simplify right side
    1,467.09x = 2,213,822.36
  5. Step 5: Solve for x
    x = 2,213,822.36/1,467.09
  6. Step 6: Final answer
    x = 1,508.99

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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.