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Finding the Fourth Proportional to 2,123.76, 3,185.92 and 662.92

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Solution

The fourth proportional to 2,123.76, 3,185.92 and 662.92 is: 994.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.76 : 3,185.92 = 662.92 : x
  2. Step 2: Convert to fraction form
    2,123.76/3,185.92 = 662.92/x
  3. Step 3: Cross multiply
    2,123.76x = 3,185.92 × 662.92
  4. Step 4: Simplify right side
    2,123.76x = 2,112,010.09
  5. Step 5: Solve for x
    x = 2,112,010.09/2,123.76
  6. Step 6: Final answer
    x = 994.47

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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.