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Finding the Fourth Proportional to 2,783.76, 3,842.04 and 1,604.64

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Solution

The fourth proportional to 2,783.76, 3,842.04 and 1,604.64 is: 2,214.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.76 : 3,842.04 = 1,604.64 : x
  2. Step 2: Convert to fraction form
    2,783.76/3,842.04 = 1,604.64/x
  3. Step 3: Cross multiply
    2,783.76x = 3,842.04 × 1,604.64
  4. Step 4: Simplify right side
    2,783.76x = 6,165,091.07
  5. Step 5: Solve for x
    x = 6,165,091.07/2,783.76
  6. Step 6: Final answer
    x = 2,214.66

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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.