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Finding the Fourth Proportional to 1,976.60, 2,965.41 and 1,155.57

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Solution

The fourth proportional to 1,976.60, 2,965.41 and 1,155.57 is: 1,733.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.60 : 2,965.41 = 1,155.57 : x
  2. Step 2: Convert to fraction form
    1,976.60/2,965.41 = 1,155.57/x
  3. Step 3: Cross multiply
    1,976.60x = 2,965.41 × 1,155.57
  4. Step 4: Simplify right side
    1,976.60x = 3,426,738.83
  5. Step 5: Solve for x
    x = 3,426,738.83/1,976.60
  6. Step 6: Final answer
    x = 1,733.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.