Home / 1,297.14-1,952.64-1,163.19

Finding the Fourth Proportional to 1,297.14, 1,952.64 and 1,163.19

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Solution

The fourth proportional to 1,297.14, 1,952.64 and 1,163.19 is: 1,750.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.14 : 1,952.64 = 1,163.19 : x
  2. Step 2: Convert to fraction form
    1,297.14/1,952.64 = 1,163.19/x
  3. Step 3: Cross multiply
    1,297.14x = 1,952.64 × 1,163.19
  4. Step 4: Simplify right side
    1,297.14x = 2,271,280.62
  5. Step 5: Solve for x
    x = 2,271,280.62/1,297.14
  6. Step 6: Final answer
    x = 1,750.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.