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Finding the Fourth Proportional to 1,722.77, 2,375.87 and 1,457.79

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Solution

The fourth proportional to 1,722.77, 2,375.87 and 1,457.79 is: 2,010.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.77 : 2,375.87 = 1,457.79 : x
  2. Step 2: Convert to fraction form
    1,722.77/2,375.87 = 1,457.79/x
  3. Step 3: Cross multiply
    1,722.77x = 2,375.87 × 1,457.79
  4. Step 4: Simplify right side
    1,722.77x = 3,463,503.33
  5. Step 5: Solve for x
    x = 3,463,503.33/1,722.77
  6. Step 6: Final answer
    x = 2,010.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.