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Finding the Fourth Proportional to 2,264, 3,397.44 and 896

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Solution

The fourth proportional to 2,264, 3,397.44 and 896 is: 1,344.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264 : 3,397.44 = 896 : x
  2. Step 2: Convert to fraction form
    2,264/3,397.44 = 896/x
  3. Step 3: Cross multiply
    2,264x = 3,397.44 × 896
  4. Step 4: Simplify right side
    2,264x = 3,044,106.24
  5. Step 5: Solve for x
    x = 3,044,106.24/2,264
  6. Step 6: Final answer
    x = 1,344.57

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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.