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Finding the Fourth Proportional to 1,942.54, 2,914.27 and 555.90

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Solution

The fourth proportional to 1,942.54, 2,914.27 and 555.90 is: 833.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.54 : 2,914.27 = 555.90 : x
  2. Step 2: Convert to fraction form
    1,942.54/2,914.27 = 555.90/x
  3. Step 3: Cross multiply
    1,942.54x = 2,914.27 × 555.90
  4. Step 4: Simplify right side
    1,942.54x = 1,620,042.69
  5. Step 5: Solve for x
    x = 1,620,042.69/1,942.54
  6. Step 6: Final answer
    x = 833.98

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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.