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Finding the Fourth Proportional to 3,258.48, 4,886.70 and 1,178.22

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Solution

The fourth proportional to 3,258.48, 4,886.70 and 1,178.22 is: 1,766.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.48 : 4,886.70 = 1,178.22 : x
  2. Step 2: Convert to fraction form
    3,258.48/4,886.70 = 1,178.22/x
  3. Step 3: Cross multiply
    3,258.48x = 4,886.70 × 1,178.22
  4. Step 4: Simplify right side
    3,258.48x = 5,757,607.67
  5. Step 5: Solve for x
    x = 5,757,607.67/3,258.48
  6. Step 6: Final answer
    x = 1,766.96

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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.