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Finding the Fourth Proportional to 2,673.54, 4,009.59 and 725.85

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Solution

The fourth proportional to 2,673.54, 4,009.59 and 725.85 is: 1,088.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.54 : 4,009.59 = 725.85 : x
  2. Step 2: Convert to fraction form
    2,673.54/4,009.59 = 725.85/x
  3. Step 3: Cross multiply
    2,673.54x = 4,009.59 × 725.85
  4. Step 4: Simplify right side
    2,673.54x = 2,910,360.90
  5. Step 5: Solve for x
    x = 2,910,360.90/2,673.54
  6. Step 6: Final answer
    x = 1,088.58

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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.