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Finding the Fourth Proportional to 2,005.70, 3,007.94 and 965.18

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Solution

The fourth proportional to 2,005.70, 3,007.94 and 965.18 is: 1,447.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.70 : 3,007.94 = 965.18 : x
  2. Step 2: Convert to fraction form
    2,005.70/3,007.94 = 965.18/x
  3. Step 3: Cross multiply
    2,005.70x = 3,007.94 × 965.18
  4. Step 4: Simplify right side
    2,005.70x = 2,903,206.22
  5. Step 5: Solve for x
    x = 2,903,206.22/2,005.70
  6. Step 6: Final answer
    x = 1,447.48

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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.