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Finding the Fourth Proportional to 1,855.46, 2,559.12 and 1,522.10

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Solution

The fourth proportional to 1,855.46, 2,559.12 and 1,522.10 is: 2,099.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.46 : 2,559.12 = 1,522.10 : x
  2. Step 2: Convert to fraction form
    1,855.46/2,559.12 = 1,522.10/x
  3. Step 3: Cross multiply
    1,855.46x = 2,559.12 × 1,522.10
  4. Step 4: Simplify right side
    1,855.46x = 3,895,236.55
  5. Step 5: Solve for x
    x = 3,895,236.55/1,855.46
  6. Step 6: Final answer
    x = 2,099.34

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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.