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Finding the Fourth Proportional to 1,414.84, 2,119.80 and 896.02

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Solution

The fourth proportional to 1,414.84, 2,119.80 and 896.02 is: 1,342.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.84 : 2,119.80 = 896.02 : x
  2. Step 2: Convert to fraction form
    1,414.84/2,119.80 = 896.02/x
  3. Step 3: Cross multiply
    1,414.84x = 2,119.80 × 896.02
  4. Step 4: Simplify right side
    1,414.84x = 1,899,383.20
  5. Step 5: Solve for x
    x = 1,899,383.20/1,414.84
  6. Step 6: Final answer
    x = 1,342.47

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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.