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Finding the Fourth Proportional to 2,500.06, 3,742.80 and 1,806.70

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Solution

The fourth proportional to 2,500.06, 3,742.80 and 1,806.70 is: 2,704.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.06 : 3,742.80 = 1,806.70 : x
  2. Step 2: Convert to fraction form
    2,500.06/3,742.80 = 1,806.70/x
  3. Step 3: Cross multiply
    2,500.06x = 3,742.80 × 1,806.70
  4. Step 4: Simplify right side
    2,500.06x = 6,762,116.76
  5. Step 5: Solve for x
    x = 6,762,116.76/2,500.06
  6. Step 6: Final answer
    x = 2,704.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.