Home / 2,286-3,429.81-1,132.56

Finding the Fourth Proportional to 2,286, 3,429.81 and 1,132.56

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Solution

The fourth proportional to 2,286, 3,429.81 and 1,132.56 is: 1,699.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286 : 3,429.81 = 1,132.56 : x
  2. Step 2: Convert to fraction form
    2,286/3,429.81 = 1,132.56/x
  3. Step 3: Cross multiply
    2,286x = 3,429.81 × 1,132.56
  4. Step 4: Simplify right side
    2,286x = 3,884,465.61
  5. Step 5: Solve for x
    x = 3,884,465.61/2,286
  6. Step 6: Final answer
    x = 1,699.24

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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.