Home / 1,402.06-2,103.10-428.08

Finding the Fourth Proportional to 1,402.06, 2,103.10 and 428.08

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Solution

The fourth proportional to 1,402.06, 2,103.10 and 428.08 is: 642.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.06 : 2,103.10 = 428.08 : x
  2. Step 2: Convert to fraction form
    1,402.06/2,103.10 = 428.08/x
  3. Step 3: Cross multiply
    1,402.06x = 2,103.10 × 428.08
  4. Step 4: Simplify right side
    1,402.06x = 900,295.05
  5. Step 5: Solve for x
    x = 900,295.05/1,402.06
  6. Step 6: Final answer
    x = 642.12

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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.