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Finding the Fourth Proportional to 3,430.94, 5,146.68 and 965.96

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Solution

The fourth proportional to 3,430.94, 5,146.68 and 965.96 is: 1,449.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.94 : 5,146.68 = 965.96 : x
  2. Step 2: Convert to fraction form
    3,430.94/5,146.68 = 965.96/x
  3. Step 3: Cross multiply
    3,430.94x = 5,146.68 × 965.96
  4. Step 4: Simplify right side
    3,430.94x = 4,971,461.28
  5. Step 5: Solve for x
    x = 4,971,461.28/3,430.94
  6. Step 6: Final answer
    x = 1,449.01

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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.