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Finding the Fourth Proportional to 2,052.45, 3,079.70 and 956.90

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Solution

The fourth proportional to 2,052.45, 3,079.70 and 956.90 is: 1,435.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.45 : 3,079.70 = 956.90 : x
  2. Step 2: Convert to fraction form
    2,052.45/3,079.70 = 956.90/x
  3. Step 3: Cross multiply
    2,052.45x = 3,079.70 × 956.90
  4. Step 4: Simplify right side
    2,052.45x = 2,946,964.93
  5. Step 5: Solve for x
    x = 2,946,964.93/2,052.45
  6. Step 6: Final answer
    x = 1,435.83

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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.