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Finding the Fourth Proportional to 1,748.77, 2,623.14 and 516.19

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Solution

The fourth proportional to 1,748.77, 2,623.14 and 516.19 is: 774.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.77 : 2,623.14 = 516.19 : x
  2. Step 2: Convert to fraction form
    1,748.77/2,623.14 = 516.19/x
  3. Step 3: Cross multiply
    1,748.77x = 2,623.14 × 516.19
  4. Step 4: Simplify right side
    1,748.77x = 1,354,025.52
  5. Step 5: Solve for x
    x = 1,354,025.52/1,748.77
  6. Step 6: Final answer
    x = 774.28

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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.