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Finding the Fourth Proportional to 3,246.40, 4,871.04 and 2,094.40

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Solution

The fourth proportional to 3,246.40, 4,871.04 and 2,094.40 is: 3,142.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.40 : 4,871.04 = 2,094.40 : x
  2. Step 2: Convert to fraction form
    3,246.40/4,871.04 = 2,094.40/x
  3. Step 3: Cross multiply
    3,246.40x = 4,871.04 × 2,094.40
  4. Step 4: Simplify right side
    3,246.40x = 10,201,906.18
  5. Step 5: Solve for x
    x = 10,201,906.18/3,246.40
  6. Step 6: Final answer
    x = 3,142.53

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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.