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Finding the Fourth Proportional to 1,853.48, 2,780.36 and 554.92

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Solution

The fourth proportional to 1,853.48, 2,780.36 and 554.92 is: 832.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.48 : 2,780.36 = 554.92 : x
  2. Step 2: Convert to fraction form
    1,853.48/2,780.36 = 554.92/x
  3. Step 3: Cross multiply
    1,853.48x = 2,780.36 × 554.92
  4. Step 4: Simplify right side
    1,853.48x = 1,542,869.73
  5. Step 5: Solve for x
    x = 1,542,869.73/1,853.48
  6. Step 6: Final answer
    x = 832.42

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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.