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Finding the Fourth Proportional to 1,853.44, 2,780.15 and 743.35

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Solution

The fourth proportional to 1,853.44, 2,780.15 and 743.35 is: 1,115.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.44 : 2,780.15 = 743.35 : x
  2. Step 2: Convert to fraction form
    1,853.44/2,780.15 = 743.35/x
  3. Step 3: Cross multiply
    1,853.44x = 2,780.15 × 743.35
  4. Step 4: Simplify right side
    1,853.44x = 2,066,624.50
  5. Step 5: Solve for x
    x = 2,066,624.50/1,853.44
  6. Step 6: Final answer
    x = 1,115.02

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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.