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Finding the Fourth Proportional to 4,269.79, 6,405.63 and 1,672.75

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Solution

The fourth proportional to 4,269.79, 6,405.63 and 1,672.75 is: 2,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.79 : 6,405.63 = 1,672.75 : x
  2. Step 2: Convert to fraction form
    4,269.79/6,405.63 = 1,672.75/x
  3. Step 3: Cross multiply
    4,269.79x = 6,405.63 × 1,672.75
  4. Step 4: Simplify right side
    4,269.79x = 10,715,017.58
  5. Step 5: Solve for x
    x = 10,715,017.58/4,269.79
  6. Step 6: Final answer
    x = 2,509.50

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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.