Home / 2,282.29-3,423.84-896.28

Finding the Fourth Proportional to 2,282.29, 3,423.84 and 896.28

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Solution

The fourth proportional to 2,282.29, 3,423.84 and 896.28 is: 1,344.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.29 : 3,423.84 = 896.28 : x
  2. Step 2: Convert to fraction form
    2,282.29/3,423.84 = 896.28/x
  3. Step 3: Cross multiply
    2,282.29x = 3,423.84 × 896.28
  4. Step 4: Simplify right side
    2,282.29x = 3,068,703.11
  5. Step 5: Solve for x
    x = 3,068,703.11/2,282.29
  6. Step 6: Final answer
    x = 1,344.57

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1.5x scale

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.