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Finding the Fourth Proportional to 1,853.54, 2,780.36 and 742.91

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Solution

The fourth proportional to 1,853.54, 2,780.36 and 742.91 is: 1,114.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.54 : 2,780.36 = 742.91 : x
  2. Step 2: Convert to fraction form
    1,853.54/2,780.36 = 742.91/x
  3. Step 3: Cross multiply
    1,853.54x = 2,780.36 × 742.91
  4. Step 4: Simplify right side
    1,853.54x = 2,065,553.53
  5. Step 5: Solve for x
    x = 2,065,553.53/1,853.54
  6. Step 6: Final answer
    x = 1,114.38

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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.