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Finding the Fourth Proportional to 1,977.90, 2,965.83 and 661.17

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Solution

The fourth proportional to 1,977.90, 2,965.83 and 661.17 is: 991.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.90 : 2,965.83 = 661.17 : x
  2. Step 2: Convert to fraction form
    1,977.90/2,965.83 = 661.17/x
  3. Step 3: Cross multiply
    1,977.90x = 2,965.83 × 661.17
  4. Step 4: Simplify right side
    1,977.90x = 1,960,917.82
  5. Step 5: Solve for x
    x = 1,960,917.82/1,977.90
  6. Step 6: Final answer
    x = 991.41

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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.