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Finding the Fourth Proportional to 1,281.48, 1,921.44 and 819.12

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Solution

The fourth proportional to 1,281.48, 1,921.44 and 819.12 is: 1,228.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.48 : 1,921.44 = 819.12 : x
  2. Step 2: Convert to fraction form
    1,281.48/1,921.44 = 819.12/x
  3. Step 3: Cross multiply
    1,281.48x = 1,921.44 × 819.12
  4. Step 4: Simplify right side
    1,281.48x = 1,573,889.93
  5. Step 5: Solve for x
    x = 1,573,889.93/1,281.48
  6. Step 6: Final answer
    x = 1,228.18

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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.