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Finding the Fourth Proportional to 2,106.94, 3,160.42 and 951.34

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Solution

The fourth proportional to 2,106.94, 3,160.42 and 951.34 is: 1,427.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.94 : 3,160.42 = 951.34 : x
  2. Step 2: Convert to fraction form
    2,106.94/3,160.42 = 951.34/x
  3. Step 3: Cross multiply
    2,106.94x = 3,160.42 × 951.34
  4. Step 4: Simplify right side
    2,106.94x = 3,006,633.96
  5. Step 5: Solve for x
    x = 3,006,633.96/2,106.94
  6. Step 6: Final answer
    x = 1,427.01

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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.