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Finding the Fourth Proportional to 2,783.52, 3,840.48 and 1,736.64

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Solution

The fourth proportional to 2,783.52, 3,840.48 and 1,736.64 is: 2,396.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.52 : 3,840.48 = 1,736.64 : x
  2. Step 2: Convert to fraction form
    2,783.52/3,840.48 = 1,736.64/x
  3. Step 3: Cross multiply
    2,783.52x = 3,840.48 × 1,736.64
  4. Step 4: Simplify right side
    2,783.52x = 6,669,531.19
  5. Step 5: Solve for x
    x = 6,669,531.19/2,783.52
  6. Step 6: Final answer
    x = 2,396.08

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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.