Home / 2,305.84-3,181.40-1,422.32

Finding the Fourth Proportional to 2,305.84, 3,181.40 and 1,422.32

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Solution

The fourth proportional to 2,305.84, 3,181.40 and 1,422.32 is: 1,962.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.84 : 3,181.40 = 1,422.32 : x
  2. Step 2: Convert to fraction form
    2,305.84/3,181.40 = 1,422.32/x
  3. Step 3: Cross multiply
    2,305.84x = 3,181.40 × 1,422.32
  4. Step 4: Simplify right side
    2,305.84x = 4,524,968.85
  5. Step 5: Solve for x
    x = 4,524,968.85/2,305.84
  6. Step 6: Final answer
    x = 1,962.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.