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Finding the Fourth Proportional to 1,713, 2,564.46 and 1,161.48

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Solution

The fourth proportional to 1,713, 2,564.46 and 1,161.48 is: 1,738.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713 : 2,564.46 = 1,161.48 : x
  2. Step 2: Convert to fraction form
    1,713/2,564.46 = 1,161.48/x
  3. Step 3: Cross multiply
    1,713x = 2,564.46 × 1,161.48
  4. Step 4: Simplify right side
    1,713x = 2,978,569.00
  5. Step 5: Solve for x
    x = 2,978,569.00/1,713
  6. Step 6: Final answer
    x = 1,738.80

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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.