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Finding the Fourth Proportional to 2,005.44, 3,005.65 and 965.16

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Solution

The fourth proportional to 2,005.44, 3,005.65 and 965.16 is: 1,446.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.44 : 3,005.65 = 965.16 : x
  2. Step 2: Convert to fraction form
    2,005.44/3,005.65 = 965.16/x
  3. Step 3: Cross multiply
    2,005.44x = 3,005.65 × 965.16
  4. Step 4: Simplify right side
    2,005.44x = 2,900,935.87
  5. Step 5: Solve for x
    x = 2,900,935.87/2,005.44
  6. Step 6: Final answer
    x = 1,446.54

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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.