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Finding the Fourth Proportional to 2,785.79, 3,842.48 and 1,606.43

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Solution

The fourth proportional to 2,785.79, 3,842.48 and 1,606.43 is: 2,215.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.79 : 3,842.48 = 1,606.43 : x
  2. Step 2: Convert to fraction form
    2,785.79/3,842.48 = 1,606.43/x
  3. Step 3: Cross multiply
    2,785.79x = 3,842.48 × 1,606.43
  4. Step 4: Simplify right side
    2,785.79x = 6,172,647.90
  5. Step 5: Solve for x
    x = 6,172,647.90/2,785.79
  6. Step 6: Final answer
    x = 2,215.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.