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Finding the Fourth Proportional to 4,318.27, 6,473.53 and 1,684.00

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Solution

The fourth proportional to 4,318.27, 6,473.53 and 1,684.00 is: 2,524.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,318.27 : 6,473.53 = 1,684.00 : x
  2. Step 2: Convert to fraction form
    4,318.27/6,473.53 = 1,684.00/x
  3. Step 3: Cross multiply
    4,318.27x = 6,473.53 × 1,684.00
  4. Step 4: Simplify right side
    4,318.27x = 10,901,408.34
  5. Step 5: Solve for x
    x = 10,901,408.34/4,318.27
  6. Step 6: Final answer
    x = 2,524.49

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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.