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Finding the Fourth Proportional to 1,942.55, 2,914.02 and 832.07

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Solution

The fourth proportional to 1,942.55, 2,914.02 and 832.07 is: 1,248.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.55 : 2,914.02 = 832.07 : x
  2. Step 2: Convert to fraction form
    1,942.55/2,914.02 = 832.07/x
  3. Step 3: Cross multiply
    1,942.55x = 2,914.02 × 832.07
  4. Step 4: Simplify right side
    1,942.55x = 2,424,675.91
  5. Step 5: Solve for x
    x = 2,424,675.91/1,942.55
  6. Step 6: Final answer
    x = 1,248.19

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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.