Home / 1,922.86-2,884.83-1,461.16

Finding the Fourth Proportional to 1,922.86, 2,884.83 and 1,461.16

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Solution

The fourth proportional to 1,922.86, 2,884.83 and 1,461.16 is: 2,192.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.86 : 2,884.83 = 1,461.16 : x
  2. Step 2: Convert to fraction form
    1,922.86/2,884.83 = 1,461.16/x
  3. Step 3: Cross multiply
    1,922.86x = 2,884.83 × 1,461.16
  4. Step 4: Simplify right side
    1,922.86x = 4,215,198.20
  5. Step 5: Solve for x
    x = 4,215,198.20/1,922.86
  6. Step 6: Final answer
    x = 2,192.15

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1.5x scale

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.