Home / 2,829.84-3,904.38-2,230.48

Finding the Fourth Proportional to 2,829.84, 3,904.38 and 2,230.48

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Solution

The fourth proportional to 2,829.84, 3,904.38 and 2,230.48 is: 3,077.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.84 : 3,904.38 = 2,230.48 : x
  2. Step 2: Convert to fraction form
    2,829.84/3,904.38 = 2,230.48/x
  3. Step 3: Cross multiply
    2,829.84x = 3,904.38 × 2,230.48
  4. Step 4: Simplify right side
    2,829.84x = 8,708,641.50
  5. Step 5: Solve for x
    x = 8,708,641.50/2,829.84
  6. Step 6: Final answer
    x = 3,077.43

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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.