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Finding the Fourth Proportional to 2,123.39, 3,185.63 and 662.55

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Solution

The fourth proportional to 2,123.39, 3,185.63 and 662.55 is: 994.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.39 : 3,185.63 = 662.55 : x
  2. Step 2: Convert to fraction form
    2,123.39/3,185.63 = 662.55/x
  3. Step 3: Cross multiply
    2,123.39x = 3,185.63 × 662.55
  4. Step 4: Simplify right side
    2,123.39x = 2,110,635.84
  5. Step 5: Solve for x
    x = 2,110,635.84/2,123.39
  6. Step 6: Final answer
    x = 994.00

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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.