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Finding the Fourth Proportional to 2,783.12, 3,842.52 and 2,260.40

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Solution

The fourth proportional to 2,783.12, 3,842.52 and 2,260.40 is: 3,120.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.12 : 3,842.52 = 2,260.40 : x
  2. Step 2: Convert to fraction form
    2,783.12/3,842.52 = 2,260.40/x
  3. Step 3: Cross multiply
    2,783.12x = 3,842.52 × 2,260.40
  4. Step 4: Simplify right side
    2,783.12x = 8,685,632.21
  5. Step 5: Solve for x
    x = 8,685,632.21/2,783.12
  6. Step 6: Final answer
    x = 3,120.83

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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.