Home / 2,277.15-3,416.57-961.24

Finding the Fourth Proportional to 2,277.15, 3,416.57 and 961.24

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Solution

The fourth proportional to 2,277.15, 3,416.57 and 961.24 is: 1,442.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.15 : 3,416.57 = 961.24 : x
  2. Step 2: Convert to fraction form
    2,277.15/3,416.57 = 961.24/x
  3. Step 3: Cross multiply
    2,277.15x = 3,416.57 × 961.24
  4. Step 4: Simplify right side
    2,277.15x = 3,284,143.75
  5. Step 5: Solve for x
    x = 3,284,143.75/2,277.15
  6. Step 6: Final answer
    x = 1,442.22

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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.