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Finding the Fourth Proportional to 1,965.83, 2,712.86 and 1,219.51

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Solution

The fourth proportional to 1,965.83, 2,712.86 and 1,219.51 is: 1,682.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.83 : 2,712.86 = 1,219.51 : x
  2. Step 2: Convert to fraction form
    1,965.83/2,712.86 = 1,219.51/x
  3. Step 3: Cross multiply
    1,965.83x = 2,712.86 × 1,219.51
  4. Step 4: Simplify right side
    1,965.83x = 3,308,353.80
  5. Step 5: Solve for x
    x = 3,308,353.80/1,965.83
  6. Step 6: Final answer
    x = 1,682.93

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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.