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Finding the Fourth Proportional to 2,123.58, 3,184.58 and 662.24

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Solution

The fourth proportional to 2,123.58, 3,184.58 and 662.24 is: 993.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.58 : 3,184.58 = 662.24 : x
  2. Step 2: Convert to fraction form
    2,123.58/3,184.58 = 662.24/x
  3. Step 3: Cross multiply
    2,123.58x = 3,184.58 × 662.24
  4. Step 4: Simplify right side
    2,123.58x = 2,108,956.26
  5. Step 5: Solve for x
    x = 2,108,956.26/2,123.58
  6. Step 6: Final answer
    x = 993.11

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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.