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Finding the Fourth Proportional to 1,965.45, 2,712.31 and 1,179.50

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Solution

The fourth proportional to 1,965.45, 2,712.31 and 1,179.50 is: 1,627.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.45 : 2,712.31 = 1,179.50 : x
  2. Step 2: Convert to fraction form
    1,965.45/2,712.31 = 1,179.50/x
  3. Step 3: Cross multiply
    1,965.45x = 2,712.31 × 1,179.50
  4. Step 4: Simplify right side
    1,965.45x = 3,199,159.77
  5. Step 5: Solve for x
    x = 3,199,159.77/1,965.45
  6. Step 6: Final answer
    x = 1,627.70

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