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Finding the Fourth Proportional to 2,044.85, 3,066.86 and 658.33

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Solution

The fourth proportional to 2,044.85, 3,066.86 and 658.33 is: 987.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.85 : 3,066.86 = 658.33 : x
  2. Step 2: Convert to fraction form
    2,044.85/3,066.86 = 658.33/x
  3. Step 3: Cross multiply
    2,044.85x = 3,066.86 × 658.33
  4. Step 4: Simplify right side
    2,044.85x = 2,018,999.92
  5. Step 5: Solve for x
    x = 2,018,999.92/2,044.85
  6. Step 6: Final answer
    x = 987.36

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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.