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Finding the Fourth Proportional to 2,007.38, 3,010.97 and 836.93

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Solution

The fourth proportional to 2,007.38, 3,010.97 and 836.93 is: 1,255.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.38 : 3,010.97 = 836.93 : x
  2. Step 2: Convert to fraction form
    2,007.38/3,010.97 = 836.93/x
  3. Step 3: Cross multiply
    2,007.38x = 3,010.97 × 836.93
  4. Step 4: Simplify right side
    2,007.38x = 2,519,980.74
  5. Step 5: Solve for x
    x = 2,519,980.74/2,007.38
  6. Step 6: Final answer
    x = 1,255.36

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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.