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Finding the Fourth Proportional to 2,510.96, 3,766.47 and 662.09

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Solution

The fourth proportional to 2,510.96, 3,766.47 and 662.09 is: 993.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.96 : 3,766.47 = 662.09 : x
  2. Step 2: Convert to fraction form
    2,510.96/3,766.47 = 662.09/x
  3. Step 3: Cross multiply
    2,510.96x = 3,766.47 × 662.09
  4. Step 4: Simplify right side
    2,510.96x = 2,493,719.98
  5. Step 5: Solve for x
    x = 2,493,719.98/2,510.96
  6. Step 6: Final answer
    x = 993.14

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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.