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Finding the Fourth Proportional to 2,357.73, 3,537.20 and 1,942.00

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Solution

The fourth proportional to 2,357.73, 3,537.20 and 1,942.00 is: 2,913.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.73 : 3,537.20 = 1,942.00 : x
  2. Step 2: Convert to fraction form
    2,357.73/3,537.20 = 1,942.00/x
  3. Step 3: Cross multiply
    2,357.73x = 3,537.20 × 1,942.00
  4. Step 4: Simplify right side
    2,357.73x = 6,869,238.41
  5. Step 5: Solve for x
    x = 6,869,238.41/2,357.73
  6. Step 6: Final answer
    x = 2,913.50

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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.