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Finding the Fourth Proportional to 1,835.73, 2,754.28 and 740.41

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Solution

The fourth proportional to 1,835.73, 2,754.28 and 740.41 is: 1,110.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.73 : 2,754.28 = 740.41 : x
  2. Step 2: Convert to fraction form
    1,835.73/2,754.28 = 740.41/x
  3. Step 3: Cross multiply
    1,835.73x = 2,754.28 × 740.41
  4. Step 4: Simplify right side
    1,835.73x = 2,039,296.45
  5. Step 5: Solve for x
    x = 2,039,296.45/1,835.73
  6. Step 6: Final answer
    x = 1,110.89

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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.