Home / 2,924.25-4,386.42-976.46

Finding the Fourth Proportional to 2,924.25, 4,386.42 and 976.46

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Solution

The fourth proportional to 2,924.25, 4,386.42 and 976.46 is: 1,464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.25 : 4,386.42 = 976.46 : x
  2. Step 2: Convert to fraction form
    2,924.25/4,386.42 = 976.46/x
  3. Step 3: Cross multiply
    2,924.25x = 4,386.42 × 976.46
  4. Step 4: Simplify right side
    2,924.25x = 4,283,163.67
  5. Step 5: Solve for x
    x = 4,283,163.67/2,924.25
  6. Step 6: Final answer
    x = 1,464.71

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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.