Home / 1,454.15-2,181.22-428.15

Finding the Fourth Proportional to 1,454.15, 2,181.22 and 428.15

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Solution

The fourth proportional to 1,454.15, 2,181.22 and 428.15 is: 642.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.15 : 2,181.22 = 428.15 : x
  2. Step 2: Convert to fraction form
    1,454.15/2,181.22 = 428.15/x
  3. Step 3: Cross multiply
    1,454.15x = 2,181.22 × 428.15
  4. Step 4: Simplify right side
    1,454.15x = 933,896.13
  5. Step 5: Solve for x
    x = 933,896.13/1,454.15
  6. Step 6: Final answer
    x = 642.23

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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.