Home / 1,419.02-2,128.70-494.90

Finding the Fourth Proportional to 1,419.02, 2,128.70 and 494.90

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Solution

The fourth proportional to 1,419.02, 2,128.70 and 494.90 is: 742.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.02 : 2,128.70 = 494.90 : x
  2. Step 2: Convert to fraction form
    1,419.02/2,128.70 = 494.90/x
  3. Step 3: Cross multiply
    1,419.02x = 2,128.70 × 494.90
  4. Step 4: Simplify right side
    1,419.02x = 1,053,493.63
  5. Step 5: Solve for x
    x = 1,053,493.63/1,419.02
  6. Step 6: Final answer
    x = 742.41

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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.