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Finding the Fourth Proportional to 1,428.64, 1,972.64 and 1,096.54

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Solution

The fourth proportional to 1,428.64, 1,972.64 and 1,096.54 is: 1,514.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.64 : 1,972.64 = 1,096.54 : x
  2. Step 2: Convert to fraction form
    1,428.64/1,972.64 = 1,096.54/x
  3. Step 3: Cross multiply
    1,428.64x = 1,972.64 × 1,096.54
  4. Step 4: Simplify right side
    1,428.64x = 2,163,078.67
  5. Step 5: Solve for x
    x = 2,163,078.67/1,428.64
  6. Step 6: Final answer
    x = 1,514.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.