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Finding the Fourth Proportional to 2,706.45, 4,060.25 and 857.30

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Solution

The fourth proportional to 2,706.45, 4,060.25 and 857.30 is: 1,286.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.45 : 4,060.25 = 857.30 : x
  2. Step 2: Convert to fraction form
    2,706.45/4,060.25 = 857.30/x
  3. Step 3: Cross multiply
    2,706.45x = 4,060.25 × 857.30
  4. Step 4: Simplify right side
    2,706.45x = 3,480,827.74
  5. Step 5: Solve for x
    x = 3,480,827.74/2,706.45
  6. Step 6: Final answer
    x = 1,286.12

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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.