Home / 1,578.96-2,365.36-961.13

Finding the Fourth Proportional to 1,578.96, 2,365.36 and 961.13

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Solution

The fourth proportional to 1,578.96, 2,365.36 and 961.13 is: 1,439.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.96 : 2,365.36 = 961.13 : x
  2. Step 2: Convert to fraction form
    1,578.96/2,365.36 = 961.13/x
  3. Step 3: Cross multiply
    1,578.96x = 2,365.36 × 961.13
  4. Step 4: Simplify right side
    1,578.96x = 2,273,417.12
  5. Step 5: Solve for x
    x = 2,273,417.12/1,578.96
  6. Step 6: Final answer
    x = 1,439.82

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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.