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Finding the Fourth Proportional to 1,744.89, 2,612.86 and 921.32

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Solution

The fourth proportional to 1,744.89, 2,612.86 and 921.32 is: 1,379.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.89 : 2,612.86 = 921.32 : x
  2. Step 2: Convert to fraction form
    1,744.89/2,612.86 = 921.32/x
  3. Step 3: Cross multiply
    1,744.89x = 2,612.86 × 921.32
  4. Step 4: Simplify right side
    1,744.89x = 2,407,289.30
  5. Step 5: Solve for x
    x = 2,407,289.30/1,744.89
  6. Step 6: Final answer
    x = 1,379.62

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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.