Home / 2,564.49-3,848.25-1,004.43

Finding the Fourth Proportional to 2,564.49, 3,848.25 and 1,004.43

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Solution

The fourth proportional to 2,564.49, 3,848.25 and 1,004.43 is: 1,507.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.49 : 3,848.25 = 1,004.43 : x
  2. Step 2: Convert to fraction form
    2,564.49/3,848.25 = 1,004.43/x
  3. Step 3: Cross multiply
    2,564.49x = 3,848.25 × 1,004.43
  4. Step 4: Simplify right side
    2,564.49x = 3,865,297.75
  5. Step 5: Solve for x
    x = 3,865,297.75/2,564.49
  6. Step 6: Final answer
    x = 1,507.24

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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.