Home / 1,828.92-2,522.24-1,564.36

Finding the Fourth Proportional to 1,828.92, 2,522.24 and 1,564.36

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Solution

The fourth proportional to 1,828.92, 2,522.24 and 1,564.36 is: 2,157.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.92 : 2,522.24 = 1,564.36 : x
  2. Step 2: Convert to fraction form
    1,828.92/2,522.24 = 1,564.36/x
  3. Step 3: Cross multiply
    1,828.92x = 2,522.24 × 1,564.36
  4. Step 4: Simplify right side
    1,828.92x = 3,945,691.37
  5. Step 5: Solve for x
    x = 3,945,691.37/1,828.92
  6. Step 6: Final answer
    x = 2,157.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.