Home / 1,829.07-2,524.50-1,165.77

Finding the Fourth Proportional to 1,829.07, 2,524.50 and 1,165.77

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Solution

The fourth proportional to 1,829.07, 2,524.50 and 1,165.77 is: 1,609.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.07 : 2,524.50 = 1,165.77 : x
  2. Step 2: Convert to fraction form
    1,829.07/2,524.50 = 1,165.77/x
  3. Step 3: Cross multiply
    1,829.07x = 2,524.50 × 1,165.77
  4. Step 4: Simplify right side
    1,829.07x = 2,942,986.37
  5. Step 5: Solve for x
    x = 2,942,986.37/1,829.07
  6. Step 6: Final answer
    x = 1,609.01

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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.