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Finding the Fourth Proportional to 2,742.54, 3,783.38 and 2,636.46

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Solution

The fourth proportional to 2,742.54, 3,783.38 and 2,636.46 is: 3,637.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.54 : 3,783.38 = 2,636.46 : x
  2. Step 2: Convert to fraction form
    2,742.54/3,783.38 = 2,636.46/x
  3. Step 3: Cross multiply
    2,742.54x = 3,783.38 × 2,636.46
  4. Step 4: Simplify right side
    2,742.54x = 9,974,730.03
  5. Step 5: Solve for x
    x = 9,974,730.03/2,742.54
  6. Step 6: Final answer
    x = 3,637.04

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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.