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Finding the Fourth Proportional to 1,660.95, 2,290.75 and 1,212.82

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Solution

The fourth proportional to 1,660.95, 2,290.75 and 1,212.82 is: 1,672.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.95 : 2,290.75 = 1,212.82 : x
  2. Step 2: Convert to fraction form
    1,660.95/2,290.75 = 1,212.82/x
  3. Step 3: Cross multiply
    1,660.95x = 2,290.75 × 1,212.82
  4. Step 4: Simplify right side
    1,660.95x = 2,778,258.66
  5. Step 5: Solve for x
    x = 2,778,258.66/1,660.95
  6. Step 6: Final answer
    x = 1,672.69

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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.