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Finding the Fourth Proportional to 3,204.46, 4,809.39 and 1,258.03

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Solution

The fourth proportional to 3,204.46, 4,809.39 and 1,258.03 is: 1,888.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.46 : 4,809.39 = 1,258.03 : x
  2. Step 2: Convert to fraction form
    3,204.46/4,809.39 = 1,258.03/x
  3. Step 3: Cross multiply
    3,204.46x = 4,809.39 × 1,258.03
  4. Step 4: Simplify right side
    3,204.46x = 6,050,356.90
  5. Step 5: Solve for x
    x = 6,050,356.90/3,204.46
  6. Step 6: Final answer
    x = 1,888.10

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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.