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Finding the Fourth Proportional to 2,044.34, 3,066.57 and 657.67

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Solution

The fourth proportional to 2,044.34, 3,066.57 and 657.67 is: 986.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.34 : 3,066.57 = 657.67 : x
  2. Step 2: Convert to fraction form
    2,044.34/3,066.57 = 657.67/x
  3. Step 3: Cross multiply
    2,044.34x = 3,066.57 × 657.67
  4. Step 4: Simplify right side
    2,044.34x = 2,016,791.09
  5. Step 5: Solve for x
    x = 2,016,791.09/2,044.34
  6. Step 6: Final answer
    x = 986.52

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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.