Home / 1,649.24-2,264.44-1,606.44

Finding the Fourth Proportional to 1,649.24, 2,264.44 and 1,606.44

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Solution

The fourth proportional to 1,649.24, 2,264.44 and 1,606.44 is: 2,205.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.24 : 2,264.44 = 1,606.44 : x
  2. Step 2: Convert to fraction form
    1,649.24/2,264.44 = 1,606.44/x
  3. Step 3: Cross multiply
    1,649.24x = 2,264.44 × 1,606.44
  4. Step 4: Simplify right side
    1,649.24x = 3,637,686.99
  5. Step 5: Solve for x
    x = 3,637,686.99/1,649.24
  6. Step 6: Final answer
    x = 2,205.67

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.