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Finding the Fourth Proportional to 1,853.54, 2,780.71 and 554.91

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Solution

The fourth proportional to 1,853.54, 2,780.71 and 554.91 is: 832.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.54 : 2,780.71 = 554.91 : x
  2. Step 2: Convert to fraction form
    1,853.54/2,780.71 = 554.91/x
  3. Step 3: Cross multiply
    1,853.54x = 2,780.71 × 554.91
  4. Step 4: Simplify right side
    1,853.54x = 1,543,035.09
  5. Step 5: Solve for x
    x = 1,543,035.09/1,853.54
  6. Step 6: Final answer
    x = 832.48

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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.