Home / 2,089.32-2,883.30-1,157.80

Finding the Fourth Proportional to 2,089.32, 2,883.30 and 1,157.80

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Solution

The fourth proportional to 2,089.32, 2,883.30 and 1,157.80 is: 1,597.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.32 : 2,883.30 = 1,157.80 : x
  2. Step 2: Convert to fraction form
    2,089.32/2,883.30 = 1,157.80/x
  3. Step 3: Cross multiply
    2,089.32x = 2,883.30 × 1,157.80
  4. Step 4: Simplify right side
    2,089.32x = 3,338,284.74
  5. Step 5: Solve for x
    x = 3,338,284.74/2,089.32
  6. Step 6: Final answer
    x = 1,597.79

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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.