Home / 1,428.09-2,142.11-454.18

Finding the Fourth Proportional to 1,428.09, 2,142.11 and 454.18

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Solution

The fourth proportional to 1,428.09, 2,142.11 and 454.18 is: 681.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.09 : 2,142.11 = 454.18 : x
  2. Step 2: Convert to fraction form
    1,428.09/2,142.11 = 454.18/x
  3. Step 3: Cross multiply
    1,428.09x = 2,142.11 × 454.18
  4. Step 4: Simplify right side
    1,428.09x = 972,899.30
  5. Step 5: Solve for x
    x = 972,899.30/1,428.09
  6. Step 6: Final answer
    x = 681.26

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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.