Home / 2,089.07-2,882.91-1,157.57

Finding the Fourth Proportional to 2,089.07, 2,882.91 and 1,157.57

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Solution

The fourth proportional to 2,089.07, 2,882.91 and 1,157.57 is: 1,597.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.07 : 2,882.91 = 1,157.57 : x
  2. Step 2: Convert to fraction form
    2,089.07/2,882.91 = 1,157.57/x
  3. Step 3: Cross multiply
    2,089.07x = 2,882.91 × 1,157.57
  4. Step 4: Simplify right side
    2,089.07x = 3,337,149.93
  5. Step 5: Solve for x
    x = 3,337,149.93/2,089.07
  6. Step 6: Final answer
    x = 1,597.44

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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.