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Finding the Fourth Proportional to 2,123.57, 3,184.32 and 662.72

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Solution

The fourth proportional to 2,123.57, 3,184.32 and 662.72 is: 993.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.57 : 3,184.32 = 662.72 : x
  2. Step 2: Convert to fraction form
    2,123.57/3,184.32 = 662.72/x
  3. Step 3: Cross multiply
    2,123.57x = 3,184.32 × 662.72
  4. Step 4: Simplify right side
    2,123.57x = 2,110,312.55
  5. Step 5: Solve for x
    x = 2,110,312.55/2,123.57
  6. Step 6: Final answer
    x = 993.76

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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.