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Finding the Fourth Proportional to 1,942.73, 2,913.64 and 555.80

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Solution

The fourth proportional to 1,942.73, 2,913.64 and 555.80 is: 833.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.73 : 2,913.64 = 555.80 : x
  2. Step 2: Convert to fraction form
    1,942.73/2,913.64 = 555.80/x
  3. Step 3: Cross multiply
    1,942.73x = 2,913.64 × 555.80
  4. Step 4: Simplify right side
    1,942.73x = 1,619,407.01
  5. Step 5: Solve for x
    x = 1,619,407.01/1,942.73
  6. Step 6: Final answer
    x = 833.58

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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.