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Finding the Fourth Proportional to 2,806.50, 4,199.88 and 2,064.45

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Solution

The fourth proportional to 2,806.50, 4,199.88 and 2,064.45 is: 3,089.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.50 : 4,199.88 = 2,064.45 : x
  2. Step 2: Convert to fraction form
    2,806.50/4,199.88 = 2,064.45/x
  3. Step 3: Cross multiply
    2,806.50x = 4,199.88 × 2,064.45
  4. Step 4: Simplify right side
    2,806.50x = 8,670,442.27
  5. Step 5: Solve for x
    x = 8,670,442.27/2,806.50
  6. Step 6: Final answer
    x = 3,089.41

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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.