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Finding the Fourth Proportional to 2,004.33, 3,005.66 and 964.09

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Solution

The fourth proportional to 2,004.33, 3,005.66 and 964.09 is: 1,445.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.33 : 3,005.66 = 964.09 : x
  2. Step 2: Convert to fraction form
    2,004.33/3,005.66 = 964.09/x
  3. Step 3: Cross multiply
    2,004.33x = 3,005.66 × 964.09
  4. Step 4: Simplify right side
    2,004.33x = 2,897,726.75
  5. Step 5: Solve for x
    x = 2,897,726.75/2,004.33
  6. Step 6: Final answer
    x = 1,445.73

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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.