Home / 2,564.30-3,846.26-1,465.22

Finding the Fourth Proportional to 2,564.30, 3,846.26 and 1,465.22

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Solution

The fourth proportional to 2,564.30, 3,846.26 and 1,465.22 is: 2,197.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.30 : 3,846.26 = 1,465.22 : x
  2. Step 2: Convert to fraction form
    2,564.30/3,846.26 = 1,465.22/x
  3. Step 3: Cross multiply
    2,564.30x = 3,846.26 × 1,465.22
  4. Step 4: Simplify right side
    2,564.30x = 5,635,601.51
  5. Step 5: Solve for x
    x = 5,635,601.51/2,564.30
  6. Step 6: Final answer
    x = 2,197.72

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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.