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Finding the Fourth Proportional to 2,842.48, 3,922.50 and 2,055.16

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Solution

The fourth proportional to 2,842.48, 3,922.50 and 2,055.16 is: 2,836.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.48 : 3,922.50 = 2,055.16 : x
  2. Step 2: Convert to fraction form
    2,842.48/3,922.50 = 2,055.16/x
  3. Step 3: Cross multiply
    2,842.48x = 3,922.50 × 2,055.16
  4. Step 4: Simplify right side
    2,842.48x = 8,061,365.10
  5. Step 5: Solve for x
    x = 8,061,365.10/2,842.48
  6. Step 6: Final answer
    x = 2,836.03

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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.