Home / 1,829.85-2,524.30-1,200.16

Finding the Fourth Proportional to 1,829.85, 2,524.30 and 1,200.16

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Solution

The fourth proportional to 1,829.85, 2,524.30 and 1,200.16 is: 1,655.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.85 : 2,524.30 = 1,200.16 : x
  2. Step 2: Convert to fraction form
    1,829.85/2,524.30 = 1,200.16/x
  3. Step 3: Cross multiply
    1,829.85x = 2,524.30 × 1,200.16
  4. Step 4: Simplify right side
    1,829.85x = 3,029,563.89
  5. Step 5: Solve for x
    x = 3,029,563.89/1,829.85
  6. Step 6: Final answer
    x = 1,655.64

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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.