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Finding the Fourth Proportional to 3,206.73, 4,810.47 and 1,258.68

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Solution

The fourth proportional to 3,206.73, 4,810.47 and 1,258.68 is: 1,888.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.73 : 4,810.47 = 1,258.68 : x
  2. Step 2: Convert to fraction form
    3,206.73/4,810.47 = 1,258.68/x
  3. Step 3: Cross multiply
    3,206.73x = 4,810.47 × 1,258.68
  4. Step 4: Simplify right side
    3,206.73x = 6,054,842.38
  5. Step 5: Solve for x
    x = 6,054,842.38/3,206.73
  6. Step 6: Final answer
    x = 1,888.17

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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.