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Finding the Fourth Proportional to 2,783.25, 4,171.19 and 2,321.93

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Solution

The fourth proportional to 2,783.25, 4,171.19 and 2,321.93 is: 3,479.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.25 : 4,171.19 = 2,321.93 : x
  2. Step 2: Convert to fraction form
    2,783.25/4,171.19 = 2,321.93/x
  3. Step 3: Cross multiply
    2,783.25x = 4,171.19 × 2,321.93
  4. Step 4: Simplify right side
    2,783.25x = 9,685,210.02
  5. Step 5: Solve for x
    x = 9,685,210.02/2,783.25
  6. Step 6: Final answer
    x = 3,479.82

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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.