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Finding the Fourth Proportional to 3,107.45, 4,662.80 and 1,258.76

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Solution

The fourth proportional to 3,107.45, 4,662.80 and 1,258.76 is: 1,888.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.45 : 4,662.80 = 1,258.76 : x
  2. Step 2: Convert to fraction form
    3,107.45/4,662.80 = 1,258.76/x
  3. Step 3: Cross multiply
    3,107.45x = 4,662.80 × 1,258.76
  4. Step 4: Simplify right side
    3,107.45x = 5,869,346.13
  5. Step 5: Solve for x
    x = 5,869,346.13/3,107.45
  6. Step 6: Final answer
    x = 1,888.80

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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.