Home / 2,232.03-3,345.41-770.38

Finding the Fourth Proportional to 2,232.03, 3,345.41 and 770.38

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Solution

The fourth proportional to 2,232.03, 3,345.41 and 770.38 is: 1,154.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.03 : 3,345.41 = 770.38 : x
  2. Step 2: Convert to fraction form
    2,232.03/3,345.41 = 770.38/x
  3. Step 3: Cross multiply
    2,232.03x = 3,345.41 × 770.38
  4. Step 4: Simplify right side
    2,232.03x = 2,577,233.10
  5. Step 5: Solve for x
    x = 2,577,233.10/2,232.03
  6. Step 6: Final answer
    x = 1,154.66

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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.