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Finding the Fourth Proportional to 3,001.57, 4,496.73 and 1,765.29

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Solution

The fourth proportional to 3,001.57, 4,496.73 and 1,765.29 is: 2,644.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.57 : 4,496.73 = 1,765.29 : x
  2. Step 2: Convert to fraction form
    3,001.57/4,496.73 = 1,765.29/x
  3. Step 3: Cross multiply
    3,001.57x = 4,496.73 × 1,765.29
  4. Step 4: Simplify right side
    3,001.57x = 7,938,032.50
  5. Step 5: Solve for x
    x = 7,938,032.50/3,001.57
  6. Step 6: Final answer
    x = 2,644.63

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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.