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Finding the Fourth Proportional to 2,783.28, 3,840.12 and 1,734.96

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Solution

The fourth proportional to 2,783.28, 3,840.12 and 1,734.96 is: 2,393.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.28 : 3,840.12 = 1,734.96 : x
  2. Step 2: Convert to fraction form
    2,783.28/3,840.12 = 1,734.96/x
  3. Step 3: Cross multiply
    2,783.28x = 3,840.12 × 1,734.96
  4. Step 4: Simplify right side
    2,783.28x = 6,662,454.60
  5. Step 5: Solve for x
    x = 6,662,454.60/2,783.28
  6. Step 6: Final answer
    x = 2,393.74

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Why These Related Problems?

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