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Finding the Fourth Proportional to 3,069.69, 4,236.06 and 1,810.80

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Solution

The fourth proportional to 3,069.69, 4,236.06 and 1,810.80 is: 2,498.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.69 : 4,236.06 = 1,810.80 : x
  2. Step 2: Convert to fraction form
    3,069.69/4,236.06 = 1,810.80/x
  3. Step 3: Cross multiply
    3,069.69x = 4,236.06 × 1,810.80
  4. Step 4: Simplify right side
    3,069.69x = 7,670,657.45
  5. Step 5: Solve for x
    x = 7,670,657.45/3,069.69
  6. Step 6: Final answer
    x = 2,498.84

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