Home / 1,533.20-2,115.79-834.57

Finding the Fourth Proportional to 1,533.20, 2,115.79 and 834.57

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Solution

The fourth proportional to 1,533.20, 2,115.79 and 834.57 is: 1,151.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.20 : 2,115.79 = 834.57 : x
  2. Step 2: Convert to fraction form
    1,533.20/2,115.79 = 834.57/x
  3. Step 3: Cross multiply
    1,533.20x = 2,115.79 × 834.57
  4. Step 4: Simplify right side
    1,533.20x = 1,765,774.86
  5. Step 5: Solve for x
    x = 1,765,774.86/1,533.20
  6. Step 6: Final answer
    x = 1,151.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.