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Finding the Fourth Proportional to 2,730.32, 4,093.02 and 1,086.50

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Solution

The fourth proportional to 2,730.32, 4,093.02 and 1,086.50 is: 1,628.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.32 : 4,093.02 = 1,086.50 : x
  2. Step 2: Convert to fraction form
    2,730.32/4,093.02 = 1,086.50/x
  3. Step 3: Cross multiply
    2,730.32x = 4,093.02 × 1,086.50
  4. Step 4: Simplify right side
    2,730.32x = 4,447,066.23
  5. Step 5: Solve for x
    x = 4,447,066.23/2,730.32
  6. Step 6: Final answer
    x = 1,628.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.