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Finding the Fourth Proportional to 1,285.37, 1,926.23 and 939.50

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Solution

The fourth proportional to 1,285.37, 1,926.23 and 939.50 is: 1,407.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.37 : 1,926.23 = 939.50 : x
  2. Step 2: Convert to fraction form
    1,285.37/1,926.23 = 939.50/x
  3. Step 3: Cross multiply
    1,285.37x = 1,926.23 × 939.50
  4. Step 4: Simplify right side
    1,285.37x = 1,809,678.76
  5. Step 5: Solve for x
    x = 1,809,678.76/1,285.37
  6. Step 6: Final answer
    x = 1,407.91

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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.