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Finding the Fourth Proportional to 1,731.20, 2,594.96 and 805.68

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Solution

The fourth proportional to 1,731.20, 2,594.96 and 805.68 is: 1,207.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.20 : 2,594.96 = 805.68 : x
  2. Step 2: Convert to fraction form
    1,731.20/2,594.96 = 805.68/x
  3. Step 3: Cross multiply
    1,731.20x = 2,594.96 × 805.68
  4. Step 4: Simplify right side
    1,731.20x = 2,090,707.37
  5. Step 5: Solve for x
    x = 2,090,707.37/1,731.20
  6. Step 6: Final answer
    x = 1,207.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.