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Finding the Fourth Proportional to 1,492.29, 2,059.97 and 1,021.73

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Solution

The fourth proportional to 1,492.29, 2,059.97 and 1,021.73 is: 1,410.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.29 : 2,059.97 = 1,021.73 : x
  2. Step 2: Convert to fraction form
    1,492.29/2,059.97 = 1,021.73/x
  3. Step 3: Cross multiply
    1,492.29x = 2,059.97 × 1,021.73
  4. Step 4: Simplify right side
    1,492.29x = 2,104,717.74
  5. Step 5: Solve for x
    x = 2,104,717.74/1,492.29
  6. Step 6: Final answer
    x = 1,410.39

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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.