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Finding the Fourth Proportional to 2,123.81, 3,185.90 and 662.97

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Solution

The fourth proportional to 2,123.81, 3,185.90 and 662.97 is: 994.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.81 : 3,185.90 = 662.97 : x
  2. Step 2: Convert to fraction form
    2,123.81/3,185.90 = 662.97/x
  3. Step 3: Cross multiply
    2,123.81x = 3,185.90 × 662.97
  4. Step 4: Simplify right side
    2,123.81x = 2,112,156.12
  5. Step 5: Solve for x
    x = 2,112,156.12/2,123.81
  6. Step 6: Final answer
    x = 994.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.