Home / 2,564.34-3,538.20-1,857.24

Finding the Fourth Proportional to 2,564.34, 3,538.20 and 1,857.24

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Solution

The fourth proportional to 2,564.34, 3,538.20 and 1,857.24 is: 2,562.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.34 : 3,538.20 = 1,857.24 : x
  2. Step 2: Convert to fraction form
    2,564.34/3,538.20 = 1,857.24/x
  3. Step 3: Cross multiply
    2,564.34x = 3,538.20 × 1,857.24
  4. Step 4: Simplify right side
    2,564.34x = 6,571,286.57
  5. Step 5: Solve for x
    x = 6,571,286.57/2,564.34
  6. Step 6: Final answer
    x = 2,562.56

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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.