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Finding the Fourth Proportional to 1,720.64, 2,581.31 and 733.45

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Solution

The fourth proportional to 1,720.64, 2,581.31 and 733.45 is: 1,100.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.64 : 2,581.31 = 733.45 : x
  2. Step 2: Convert to fraction form
    1,720.64/2,581.31 = 733.45/x
  3. Step 3: Cross multiply
    1,720.64x = 2,581.31 × 733.45
  4. Step 4: Simplify right side
    1,720.64x = 1,893,251.70
  5. Step 5: Solve for x
    x = 1,893,251.70/1,720.64
  6. Step 6: Final answer
    x = 1,100.32

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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.