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Finding the Fourth Proportional to 4,253.78, 6,380.68 and 1,332.34

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Solution

The fourth proportional to 4,253.78, 6,380.68 and 1,332.34 is: 1,998.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253.78 : 6,380.68 = 1,332.34 : x
  2. Step 2: Convert to fraction form
    4,253.78/6,380.68 = 1,332.34/x
  3. Step 3: Cross multiply
    4,253.78x = 6,380.68 × 1,332.34
  4. Step 4: Simplify right side
    4,253.78x = 8,501,235.19
  5. Step 5: Solve for x
    x = 8,501,235.19/4,253.78
  6. Step 6: Final answer
    x = 1,998.51

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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.