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Finding the Fourth Proportional to 3,106.95, 4,660.62 and 1,258.42

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Solution

The fourth proportional to 3,106.95, 4,660.62 and 1,258.42 is: 1,887.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.95 : 4,660.62 = 1,258.42 : x
  2. Step 2: Convert to fraction form
    3,106.95/4,660.62 = 1,258.42/x
  3. Step 3: Cross multiply
    3,106.95x = 4,660.62 × 1,258.42
  4. Step 4: Simplify right side
    3,106.95x = 5,865,017.42
  5. Step 5: Solve for x
    x = 5,865,017.42/3,106.95
  6. Step 6: Final answer
    x = 1,887.71

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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.