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Finding the Fourth Proportional to 2,673.57, 4,010.06 and 725.93

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Solution

The fourth proportional to 2,673.57, 4,010.06 and 725.93 is: 1,088.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.57 : 4,010.06 = 725.93 : x
  2. Step 2: Convert to fraction form
    2,673.57/4,010.06 = 725.93/x
  3. Step 3: Cross multiply
    2,673.57x = 4,010.06 × 725.93
  4. Step 4: Simplify right side
    2,673.57x = 2,910,999.18
  5. Step 5: Solve for x
    x = 2,910,999.18/2,673.57
  6. Step 6: Final answer
    x = 1,088.81

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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.