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Finding the Fourth Proportional to 4,534.51, 6,800.85 and 1,414

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Solution

The fourth proportional to 4,534.51, 6,800.85 and 1,414 is: 2,120.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.51 : 6,800.85 = 1,414 : x
  2. Step 2: Convert to fraction form
    4,534.51/6,800.85 = 1,414/x
  3. Step 3: Cross multiply
    4,534.51x = 6,800.85 × 1,414
  4. Step 4: Simplify right side
    4,534.51x = 9,616,401.90
  5. Step 5: Solve for x
    x = 9,616,401.90/4,534.51
  6. Step 6: Final answer
    x = 2,120.71

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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.