Home / 2,151.04-3,226.12-764.35

Finding the Fourth Proportional to 2,151.04, 3,226.12 and 764.35

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Solution

The fourth proportional to 2,151.04, 3,226.12 and 764.35 is: 1,146.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.04 : 3,226.12 = 764.35 : x
  2. Step 2: Convert to fraction form
    2,151.04/3,226.12 = 764.35/x
  3. Step 3: Cross multiply
    2,151.04x = 3,226.12 × 764.35
  4. Step 4: Simplify right side
    2,151.04x = 2,465,884.82
  5. Step 5: Solve for x
    x = 2,465,884.82/2,151.04
  6. Step 6: Final answer
    x = 1,146.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.