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Finding the Fourth Proportional to 2,361.39, 3,259.88 and 1,829.08

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Solution

The fourth proportional to 2,361.39, 3,259.88 and 1,829.08 is: 2,525.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.39 : 3,259.88 = 1,829.08 : x
  2. Step 2: Convert to fraction form
    2,361.39/3,259.88 = 1,829.08/x
  3. Step 3: Cross multiply
    2,361.39x = 3,259.88 × 1,829.08
  4. Step 4: Simplify right side
    2,361.39x = 5,962,581.31
  5. Step 5: Solve for x
    x = 5,962,581.31/2,361.39
  6. Step 6: Final answer
    x = 2,525.03

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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.