Home / 1,829.12-2,524.23-1,200.02

Finding the Fourth Proportional to 1,829.12, 2,524.23 and 1,200.02

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Solution

The fourth proportional to 1,829.12, 2,524.23 and 1,200.02 is: 1,656.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.12 : 2,524.23 = 1,200.02 : x
  2. Step 2: Convert to fraction form
    1,829.12/2,524.23 = 1,200.02/x
  3. Step 3: Cross multiply
    1,829.12x = 2,524.23 × 1,200.02
  4. Step 4: Simplify right side
    1,829.12x = 3,029,113.86
  5. Step 5: Solve for x
    x = 3,029,113.86/1,829.12
  6. Step 6: Final answer
    x = 1,656.05

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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.