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Finding the Fourth Proportional to 1,977.94, 2,966.63 and 517.19

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Solution

The fourth proportional to 1,977.94, 2,966.63 and 517.19 is: 775.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.94 : 2,966.63 = 517.19 : x
  2. Step 2: Convert to fraction form
    1,977.94/2,966.63 = 517.19/x
  3. Step 3: Cross multiply
    1,977.94x = 2,966.63 × 517.19
  4. Step 4: Simplify right side
    1,977.94x = 1,534,311.37
  5. Step 5: Solve for x
    x = 1,534,311.37/1,977.94
  6. Step 6: Final answer
    x = 775.71

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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.