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Finding the Fourth Proportional to 1,743.29, 2,615.19 and 921.34

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Solution

The fourth proportional to 1,743.29, 2,615.19 and 921.34 is: 1,382.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.29 : 2,615.19 = 921.34 : x
  2. Step 2: Convert to fraction form
    1,743.29/2,615.19 = 921.34/x
  3. Step 3: Cross multiply
    1,743.29x = 2,615.19 × 921.34
  4. Step 4: Simplify right side
    1,743.29x = 2,409,478.97
  5. Step 5: Solve for x
    x = 2,409,478.97/1,743.29
  6. Step 6: Final answer
    x = 1,382.15

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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.