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Finding the Fourth Proportional to 1,869.28, 2,802.24 and 896.20

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Solution

The fourth proportional to 1,869.28, 2,802.24 and 896.20 is: 1,343.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.28 : 2,802.24 = 896.20 : x
  2. Step 2: Convert to fraction form
    1,869.28/2,802.24 = 896.20/x
  3. Step 3: Cross multiply
    1,869.28x = 2,802.24 × 896.20
  4. Step 4: Simplify right side
    1,869.28x = 2,511,367.49
  5. Step 5: Solve for x
    x = 2,511,367.49/1,869.28
  6. Step 6: Final answer
    x = 1,343.49

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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.