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Finding the Fourth Proportional to 3,207.74, 4,810.39 and 1,258.88

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Solution

The fourth proportional to 3,207.74, 4,810.39 and 1,258.88 is: 1,887.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.74 : 4,810.39 = 1,258.88 : x
  2. Step 2: Convert to fraction form
    3,207.74/4,810.39 = 1,258.88/x
  3. Step 3: Cross multiply
    3,207.74x = 4,810.39 × 1,258.88
  4. Step 4: Simplify right side
    3,207.74x = 6,055,676.56
  5. Step 5: Solve for x
    x = 6,055,676.56/3,207.74
  6. Step 6: Final answer
    x = 1,887.84

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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.