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Finding the Fourth Proportional to 1,669.25, 2,304.30 and 997.29

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Solution

The fourth proportional to 1,669.25, 2,304.30 and 997.29 is: 1,376.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.25 : 2,304.30 = 997.29 : x
  2. Step 2: Convert to fraction form
    1,669.25/2,304.30 = 997.29/x
  3. Step 3: Cross multiply
    1,669.25x = 2,304.30 × 997.29
  4. Step 4: Simplify right side
    1,669.25x = 2,298,050.36
  5. Step 5: Solve for x
    x = 2,298,050.36/1,669.25
  6. Step 6: Final answer
    x = 1,376.70

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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.