Home / 2,284.16-3,423.98-896.64

Finding the Fourth Proportional to 2,284.16, 3,423.98 and 896.64

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Solution

The fourth proportional to 2,284.16, 3,423.98 and 896.64 is: 1,344.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.16 : 3,423.98 = 896.64 : x
  2. Step 2: Convert to fraction form
    2,284.16/3,423.98 = 896.64/x
  3. Step 3: Cross multiply
    2,284.16x = 3,423.98 × 896.64
  4. Step 4: Simplify right side
    2,284.16x = 3,070,077.43
  5. Step 5: Solve for x
    x = 3,070,077.43/2,284.16
  6. Step 6: Final answer
    x = 1,344.07

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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.