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Finding the Fourth Proportional to 1,736.43, 2,396.06 and 990.27

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Solution

The fourth proportional to 1,736.43, 2,396.06 and 990.27 is: 1,366.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.43 : 2,396.06 = 990.27 : x
  2. Step 2: Convert to fraction form
    1,736.43/2,396.06 = 990.27/x
  3. Step 3: Cross multiply
    1,736.43x = 2,396.06 × 990.27
  4. Step 4: Simplify right side
    1,736.43x = 2,372,746.34
  5. Step 5: Solve for x
    x = 2,372,746.34/1,736.43
  6. Step 6: Final answer
    x = 1,366.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.