Home / 1,419.12-2,128.44-649.44

Finding the Fourth Proportional to 1,419.12, 2,128.44 and 649.44

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Solution

The fourth proportional to 1,419.12, 2,128.44 and 649.44 is: 974.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.12 : 2,128.44 = 649.44 : x
  2. Step 2: Convert to fraction form
    1,419.12/2,128.44 = 649.44/x
  3. Step 3: Cross multiply
    1,419.12x = 2,128.44 × 649.44
  4. Step 4: Simplify right side
    1,419.12x = 1,382,294.07
  5. Step 5: Solve for x
    x = 1,382,294.07/1,419.12
  6. Step 6: Final answer
    x = 974.05

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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.