Home / 1,402.20-2,103.31-428.30

Finding the Fourth Proportional to 1,402.20, 2,103.31 and 428.30

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Solution

The fourth proportional to 1,402.20, 2,103.31 and 428.30 is: 642.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.20 : 2,103.31 = 428.30 : x
  2. Step 2: Convert to fraction form
    1,402.20/2,103.31 = 428.30/x
  3. Step 3: Cross multiply
    1,402.20x = 2,103.31 × 428.30
  4. Step 4: Simplify right side
    1,402.20x = 900,853.47
  5. Step 5: Solve for x
    x = 900,853.47/1,402.20
  6. Step 6: Final answer
    x = 642.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.