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Finding the Fourth Proportional to 2,842.73, 4,258.56 and 1,606.40

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Solution

The fourth proportional to 2,842.73, 4,258.56 and 1,606.40 is: 2,406.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.73 : 4,258.56 = 1,606.40 : x
  2. Step 2: Convert to fraction form
    2,842.73/4,258.56 = 1,606.40/x
  3. Step 3: Cross multiply
    2,842.73x = 4,258.56 × 1,606.40
  4. Step 4: Simplify right side
    2,842.73x = 6,840,950.78
  5. Step 5: Solve for x
    x = 6,840,950.78/2,842.73
  6. Step 6: Final answer
    x = 2,406.47

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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.