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Finding the Fourth Proportional to 1,942.77, 2,914.46 and 643.94

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Solution

The fourth proportional to 1,942.77, 2,914.46 and 643.94 is: 966.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.77 : 2,914.46 = 643.94 : x
  2. Step 2: Convert to fraction form
    1,942.77/2,914.46 = 643.94/x
  3. Step 3: Cross multiply
    1,942.77x = 2,914.46 × 643.94
  4. Step 4: Simplify right side
    1,942.77x = 1,876,737.37
  5. Step 5: Solve for x
    x = 1,876,737.37/1,942.77
  6. Step 6: Final answer
    x = 966.01

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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.