Home / 1,922.10-2,883.60-997.80

Finding the Fourth Proportional to 1,922.10, 2,883.60 and 997.80

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Solution

The fourth proportional to 1,922.10, 2,883.60 and 997.80 is: 1,496.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.10 : 2,883.60 = 997.80 : x
  2. Step 2: Convert to fraction form
    1,922.10/2,883.60 = 997.80/x
  3. Step 3: Cross multiply
    1,922.10x = 2,883.60 × 997.80
  4. Step 4: Simplify right side
    1,922.10x = 2,877,256.08
  5. Step 5: Solve for x
    x = 2,877,256.08/1,922.10
  6. Step 6: Final answer
    x = 1,496.93

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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.