Home / 2,282.34-3,423.51-820.45

Finding the Fourth Proportional to 2,282.34, 3,423.51 and 820.45

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Solution

The fourth proportional to 2,282.34, 3,423.51 and 820.45 is: 1,230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.34 : 3,423.51 = 820.45 : x
  2. Step 2: Convert to fraction form
    2,282.34/3,423.51 = 820.45/x
  3. Step 3: Cross multiply
    2,282.34x = 3,423.51 × 820.45
  4. Step 4: Simplify right side
    2,282.34x = 2,808,818.78
  5. Step 5: Solve for x
    x = 2,808,818.78/2,282.34
  6. Step 6: Final answer
    x = 1,230.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.