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Finding the Fourth Proportional to 3,069.74, 4,236.06 and 1,810.84

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Solution

The fourth proportional to 3,069.74, 4,236.06 and 1,810.84 is: 2,498.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.74 : 4,236.06 = 1,810.84 : x
  2. Step 2: Convert to fraction form
    3,069.74/4,236.06 = 1,810.84/x
  3. Step 3: Cross multiply
    3,069.74x = 4,236.06 × 1,810.84
  4. Step 4: Simplify right side
    3,069.74x = 7,670,826.89
  5. Step 5: Solve for x
    x = 7,670,826.89/3,069.74
  6. Step 6: Final answer
    x = 2,498.85

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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.