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Finding the Fourth Proportional to 1,806.42, 2,704.74 and 1,155.18

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Solution

The fourth proportional to 1,806.42, 2,704.74 and 1,155.18 is: 1,729.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.42 : 2,704.74 = 1,155.18 : x
  2. Step 2: Convert to fraction form
    1,806.42/2,704.74 = 1,155.18/x
  3. Step 3: Cross multiply
    1,806.42x = 2,704.74 × 1,155.18
  4. Step 4: Simplify right side
    1,806.42x = 3,124,461.55
  5. Step 5: Solve for x
    x = 3,124,461.55/1,806.42
  6. Step 6: Final answer
    x = 1,729.64

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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.