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Finding the Fourth Proportional to 3,430.96, 5,146.44 and 965.80

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Solution

The fourth proportional to 3,430.96, 5,146.44 and 965.80 is: 1,448.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.96 : 5,146.44 = 965.80 : x
  2. Step 2: Convert to fraction form
    3,430.96/5,146.44 = 965.80/x
  3. Step 3: Cross multiply
    3,430.96x = 5,146.44 × 965.80
  4. Step 4: Simplify right side
    3,430.96x = 4,970,431.75
  5. Step 5: Solve for x
    x = 4,970,431.75/3,430.96
  6. Step 6: Final answer
    x = 1,448.70

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Similar ratio
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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.