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Finding the Fourth Proportional to 2,123.65, 3,185.31 and 662.75

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Solution

The fourth proportional to 2,123.65, 3,185.31 and 662.75 is: 994.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.65 : 3,185.31 = 662.75 : x
  2. Step 2: Convert to fraction form
    2,123.65/3,185.31 = 662.75/x
  3. Step 3: Cross multiply
    2,123.65x = 3,185.31 × 662.75
  4. Step 4: Simplify right side
    2,123.65x = 2,111,064.20
  5. Step 5: Solve for x
    x = 2,111,064.20/2,123.65
  6. Step 6: Final answer
    x = 994.08

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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.