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Finding the Fourth Proportional to 1,853.98, 2,780.61 and 537.58

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Solution

The fourth proportional to 1,853.98, 2,780.61 and 537.58 is: 806.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.98 : 2,780.61 = 537.58 : x
  2. Step 2: Convert to fraction form
    1,853.98/2,780.61 = 537.58/x
  3. Step 3: Cross multiply
    1,853.98x = 2,780.61 × 537.58
  4. Step 4: Simplify right side
    1,853.98x = 1,494,800.32
  5. Step 5: Solve for x
    x = 1,494,800.32/1,853.98
  6. Step 6: Final answer
    x = 806.27

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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.