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Finding the Fourth Proportional to 1,942.93, 2,914.41 and 772.86

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Solution

The fourth proportional to 1,942.93, 2,914.41 and 772.86 is: 1,159.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.93 : 2,914.41 = 772.86 : x
  2. Step 2: Convert to fraction form
    1,942.93/2,914.41 = 772.86/x
  3. Step 3: Cross multiply
    1,942.93x = 2,914.41 × 772.86
  4. Step 4: Simplify right side
    1,942.93x = 2,252,430.91
  5. Step 5: Solve for x
    x = 2,252,430.91/1,942.93
  6. Step 6: Final answer
    x = 1,159.30

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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.