Home / 2,089.24-2,883.06-1,157.80

Finding the Fourth Proportional to 2,089.24, 2,883.06 and 1,157.80

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Solution

The fourth proportional to 2,089.24, 2,883.06 and 1,157.80 is: 1,597.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.24 : 2,883.06 = 1,157.80 : x
  2. Step 2: Convert to fraction form
    2,089.24/2,883.06 = 1,157.80/x
  3. Step 3: Cross multiply
    2,089.24x = 2,883.06 × 1,157.80
  4. Step 4: Simplify right side
    2,089.24x = 3,338,006.87
  5. Step 5: Solve for x
    x = 3,338,006.87/2,089.24
  6. Step 6: Final answer
    x = 1,597.71

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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.