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Finding the Fourth Proportional to 3,305.12, 4,957.46 and 965.04

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Solution

The fourth proportional to 3,305.12, 4,957.46 and 965.04 is: 1,447.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.12 : 4,957.46 = 965.04 : x
  2. Step 2: Convert to fraction form
    3,305.12/4,957.46 = 965.04/x
  3. Step 3: Cross multiply
    3,305.12x = 4,957.46 × 965.04
  4. Step 4: Simplify right side
    3,305.12x = 4,784,147.20
  5. Step 5: Solve for x
    x = 4,784,147.20/3,305.12
  6. Step 6: Final answer
    x = 1,447.50

Related Problems

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Find fourth proportional to 3,306.12, 4,958.96 and 966.04
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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.