Home / 2,089.14-2,883.11-1,157.66

Finding the Fourth Proportional to 2,089.14, 2,883.11 and 1,157.66

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Solution

The fourth proportional to 2,089.14, 2,883.11 and 1,157.66 is: 1,597.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.14 : 2,883.11 = 1,157.66 : x
  2. Step 2: Convert to fraction form
    2,089.14/2,883.11 = 1,157.66/x
  3. Step 3: Cross multiply
    2,089.14x = 2,883.11 × 1,157.66
  4. Step 4: Simplify right side
    2,089.14x = 3,337,661.12
  5. Step 5: Solve for x
    x = 3,337,661.12/2,089.14
  6. Step 6: Final answer
    x = 1,597.62

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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.