Home / 1,419.06-2,128.14-431.58

Finding the Fourth Proportional to 1,419.06, 2,128.14 and 431.58

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Solution

The fourth proportional to 1,419.06, 2,128.14 and 431.58 is: 647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.06 : 2,128.14 = 431.58 : x
  2. Step 2: Convert to fraction form
    1,419.06/2,128.14 = 431.58/x
  3. Step 3: Cross multiply
    1,419.06x = 2,128.14 × 431.58
  4. Step 4: Simplify right side
    1,419.06x = 918,462.66
  5. Step 5: Solve for x
    x = 918,462.66/1,419.06
  6. Step 6: Final answer
    x = 647.23

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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.