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Finding the Fourth Proportional to 3,367.50, 4,647.16 and 1,895.50

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Solution

The fourth proportional to 3,367.50, 4,647.16 and 1,895.50 is: 2,615.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.50 : 4,647.16 = 1,895.50 : x
  2. Step 2: Convert to fraction form
    3,367.50/4,647.16 = 1,895.50/x
  3. Step 3: Cross multiply
    3,367.50x = 4,647.16 × 1,895.50
  4. Step 4: Simplify right side
    3,367.50x = 8,808,691.78
  5. Step 5: Solve for x
    x = 8,808,691.78/3,367.50
  6. Step 6: Final answer
    x = 2,615.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.