Home / 1,419.03-2,127.09-494.10

Finding the Fourth Proportional to 1,419.03, 2,127.09 and 494.10

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Solution

The fourth proportional to 1,419.03, 2,127.09 and 494.10 is: 740.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.03 : 2,127.09 = 494.10 : x
  2. Step 2: Convert to fraction form
    1,419.03/2,127.09 = 494.10/x
  3. Step 3: Cross multiply
    1,419.03x = 2,127.09 × 494.10
  4. Step 4: Simplify right side
    1,419.03x = 1,050,995.17
  5. Step 5: Solve for x
    x = 1,050,995.17/1,419.03
  6. Step 6: Final answer
    x = 740.64

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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.