Home / 1,419.16-2,128.75-432.14

Finding the Fourth Proportional to 1,419.16, 2,128.75 and 432.14

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Solution

The fourth proportional to 1,419.16, 2,128.75 and 432.14 is: 648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.16 : 2,128.75 = 432.14 : x
  2. Step 2: Convert to fraction form
    1,419.16/2,128.75 = 432.14/x
  3. Step 3: Cross multiply
    1,419.16x = 2,128.75 × 432.14
  4. Step 4: Simplify right side
    1,419.16x = 919,907.38
  5. Step 5: Solve for x
    x = 919,907.38/1,419.16
  6. Step 6: Final answer
    x = 648.21

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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.