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Finding the Fourth Proportional to 1,659.34, 2,290.35 and 996.31

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Solution

The fourth proportional to 1,659.34, 2,290.35 and 996.31 is: 1,375.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.34 : 2,290.35 = 996.31 : x
  2. Step 2: Convert to fraction form
    1,659.34/2,290.35 = 996.31/x
  3. Step 3: Cross multiply
    1,659.34x = 2,290.35 × 996.31
  4. Step 4: Simplify right side
    1,659.34x = 2,281,898.61
  5. Step 5: Solve for x
    x = 2,281,898.61/1,659.34
  6. Step 6: Final answer
    x = 1,375.18

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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.