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Finding the Fourth Proportional to 2,090.62, 3,133.74 and 993.67

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Solution

The fourth proportional to 2,090.62, 3,133.74 and 993.67 is: 1,489.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.62 : 3,133.74 = 993.67 : x
  2. Step 2: Convert to fraction form
    2,090.62/3,133.74 = 993.67/x
  3. Step 3: Cross multiply
    2,090.62x = 3,133.74 × 993.67
  4. Step 4: Simplify right side
    2,090.62x = 3,113,903.43
  5. Step 5: Solve for x
    x = 3,113,903.43/2,090.62
  6. Step 6: Final answer
    x = 1,489.46

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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.