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Finding the Fourth Proportional to 1,446.96, 2,167.56 and 1,264.56

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Solution

The fourth proportional to 1,446.96, 2,167.56 and 1,264.56 is: 1,894.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.96 : 2,167.56 = 1,264.56 : x
  2. Step 2: Convert to fraction form
    1,446.96/2,167.56 = 1,264.56/x
  3. Step 3: Cross multiply
    1,446.96x = 2,167.56 × 1,264.56
  4. Step 4: Simplify right side
    1,446.96x = 2,741,009.67
  5. Step 5: Solve for x
    x = 2,741,009.67/1,446.96
  6. Step 6: Final answer
    x = 1,894.32

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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.