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Finding the Fourth Proportional to 2,707.14, 4,063.08 and 1,321.50

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Solution

The fourth proportional to 2,707.14, 4,063.08 and 1,321.50 is: 1,983.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.14 : 4,063.08 = 1,321.50 : x
  2. Step 2: Convert to fraction form
    2,707.14/4,063.08 = 1,321.50/x
  3. Step 3: Cross multiply
    2,707.14x = 4,063.08 × 1,321.50
  4. Step 4: Simplify right side
    2,707.14x = 5,369,360.22
  5. Step 5: Solve for x
    x = 5,369,360.22/2,707.14
  6. Step 6: Final answer
    x = 1,983.41

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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.